tag:blogger.com,1999:blog-3674511220196352632024-03-07T22:09:40.290-08:00Struktur Data-Grapht4urus_boy08http://www.blogger.com/profile/03016736098161805827noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-367451122019635263.post-21092507758256987242010-05-26T18:16:00.000-07:002010-05-27T00:53:52.941-07:00Graph-Modul 6<meta equiv="Content-Type" content="text/html; charset=utf-8"><meta name="ProgId" content="Word.Document"><meta name="Generator" content="Microsoft Word 12"><meta name="Originator" content="Microsoft Word 12"><link rel="File-List" href="file:///C:%5CUsers%5CHaris%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_filelist.xml"><link rel="Edit-Time-Data" href="file:///C:%5CUsers%5CHaris%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_editdata.mso"><!--[if !mso]> <style> v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} w\:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} </style> <![endif]--><link rel="themeData" 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ext="edit" data="1"> </o:shapelayout></xml><![endif]--> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: 150%;"><span class="apple-style-span" style="font-size:100%;"><b style=""><span style="line-height: 150%;font-family:";color:black;" lang="IN">1. Pengertian Graf dan Tree serta Perbedaannya<o:p></o:p></span></b></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; text-indent: -21.3pt; line-height: 150%;"><span class="apple-style-span" style="font-size:100%;"><b style=""><span style="line-height: 150%;font-family:";color:black;" lang="IN"><span style=""> </span></span></b></span><span class="apple-style-span" style="font-size:100%;"><b style=""><span style="line-height: 150%;font-family:";color:black;" >Graf</span></b></span><span class="apple-style-span" style="font-size:100%;"><span style="line-height: 150%;font-family:";color:black;" > adalah kumpulan noktah (simpul) di dalam bidang dua dimensi yang dihubungkan</span></span><span class="apple-style-span" style="font-size:100%;"><span style="line-height: 150%;font-family:";color:black;" > </span></span><span class="apple-style-span" style="font-size:100%;"><span style="line-height: 150%;font-family:";color:black;" >dengan sekumpulan garis (sisi).</span></span><span class="apple-converted-space" style="font-size:100%;"><span style="line-height: 150%;font-family:";color:black;" > </span></span><span class="apple-style-span" style="font-size:100%;"><i><span style="line-height: 150%;font-family:";color:black;" >Graph</span></i></span><span class="apple-converted-space" style="font-size:100%;"><span style="line-height: 150%;font-family:";color:black;" > </span></span><span class="apple-style-span" style="font-size:100%;"><span style="line-height: 150%;font-family:";color:black;" >dapat digunakan untuk merepresentasikan objek-objek diskrit dan hubungan antara objek-objek tersebut. Representasi visual dari</span></span><span class="apple-converted-space" style="font-size:100%;"><span style="line-height: 150%;font-family:";color:black;" > </span></span><span class="apple-style-span" style="font-size:100%;"><i><span style="line-height: 150%;font-family:";color:black;" >graph</span></i></span><span class="apple-converted-space" style="font-size:100%;"><span style="line-height: 150%;font-family:";color:black;" > </span></span><span class="apple-style-span" style="font-size:100%;"><span style="line-height: 150%;font-family:";color:black;" >adalah dengan menyatakan objek sebagai noktah, bulatan atau titik (Vertex), sedangkan hubungan antara objek dinyatakan dengan garis (Edge).</span></span><span class="apple-style-span" style="font-size:100%;"><span style="line-height: 150%;font-family:";color:black;" lang="IN"><o:p></o:p></span></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; text-indent: -21.3pt; line-height: 150%;"><!--[if gte vml 1]><v:rect id="_x0000_s1026" style="'position:absolute;left:0;text-align:left;margin-left:39.35pt;" filled="f"><![endif]--><!--[if !vml]--><span style="position: absolute; z-index: 1; left: 0px; margin-left: 51px; margin-top: 18px; width: 430px; height: 116px;font-size:100%;" ><img src="file:///C:/Users/Haris/AppData/Local/Temp/msohtmlclip1/01/clip_image001.gif" shapes="_x0000_s1026" width="430" height="116" /></span><!--[endif]--><span class="apple-style-span" style="font-size:100%;"><b style=""><span style="line-height: 150%;font-family:";color:black;" lang="IN"><span style=""> </span></span></b></span><span class="apple-style-span" style="font-size:100%;"><span style="line-height: 150%;font-family:";" lang="IN"><o:p></o:p></span></span></p> <p class="MsoListParagraphCxSpFirst" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; text-indent: 21.25pt; line-height: normal;"><span style=";font-family:";font-size:100%;" >G = (V, E)<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; text-indent: 21.25pt; line-height: normal;"><span style=";font-family:";font-size:100%;" ><span style=""> </span>Dimana<span style=""> </span><span style=""> </span><o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; text-indent: 21.25pt; line-height: normal;"><span style=";font-family:";font-size:100%;" ><span style=""> </span>G = Graph<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; text-indent: 21.25pt; line-height: normal;"><span style=";font-family:";font-size:100%;" ><span style=""> </span>V = Simpul atau Vertex, atau Node, atau Titik <o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; text-indent: 21.25pt; line-height: normal;"><span style=";font-family:";font-size:100%;" ><span style=""> </span>E = Busur atau Edge, atau arc<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; text-indent: 21.25pt; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; text-indent: 21.25pt; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" >Graf merupakan suatu cabang ilmu yang memiliki banyak terapan. Banyak sekali struktur yang bisa direpresentasikan dengan graf, dan banyak masalah yang bisa diselesaikan dengan bantuan graf. Seringkali graf digunakan untuk merepresentasikan suaru jaringan. Misalkan jaringan jalan raya dimodelkan graf dengan kota sebagai simpul (<em>vertex/node</em>) dan jalan yang menghubungkan setiap kotanya sebagai sisi (<em>edge</em>) yang bobotnya (<em>weight</em>) adalah panjang dari jalan tersebut.<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; text-indent: 21.25pt; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" >Ada beberapa cara untuk menyimpan graph di dalam sitem komputer. Struktur data bergantung pada struktur graph dan algoritma yang digunakan untuk memmanipulasi graph. Secara teori salah satu dari keduanya dapat dibedakan antara struktur list dan matriks, tetapi dalam penggunaannya struktur terbaik yang sering digunakan adalah kombinasi keduanya.<span style=""> </span><o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 39.3pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:";font-size:100%;" ><span style="">•<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Graph tak berarah (undirected graph atau non-directed graph) :<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 75.3pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:";font-size:100%;" ><span style="">•<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Urutan simpul dalam sebuah busur tidak dipentingkan. Misal busur e1 dapat disebut busur AB atau BA<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 39.3pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:";font-size:100%;" ><span style="">•<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Graph berarah (directed graph) :<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 75.3pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:";font-size:100%;" ><span style="">•<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Urutan simpul mempunyai arti. Misal busur AB adalah e1 sedangkan busur BA adalah e8. <o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 39.3pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:";font-size:100%;" ><span style="">•<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Graph Berbobot (Weighted Graph)<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 75.3pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:";font-size:100%;" ><span style="">•<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Jika setiap busur mempunyai nilai yang menyatakan hubungan antara 2 buah simpul, maka busur 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<br /><!--[endif]--></span><span style="line-height: 150%;font-family:";font-size:100%;" ><o:p></o:p></span></p> <p class="MsoListParagraphCxSpLast" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;"><b style=""><span style="line-height: 150%;font-family:";color:black;" >Tree</span></b></span><span style="line-height: 150%;font-family:";font-size:100%;color:black;" > dalam pemrograman merupakan struktur data yang tidak linear / non linear yang digunakan terutama untuk merepresentasikan hubungan data yang bersifat hierarkis antara elemen-elemennya. Kumpulan elemen yang salah satu elemennya disebut dengan root (akar) dan sisa elemen yang lain disebut sebagai simpul (node/vertex) yang terpecah menjadi sejumlah himpunan yang tidak saling berhubungan satu sama lain, yang disebut subtree / cabang.</span><span style="line-height: 150%;font-family:";font-size:100%;" ><o:p></o:p></span></p> <p class="MsoNormal" style="margin-left: 70.9pt;"><span lang="IN" style="font-size:100%;"><!--[if gte vml 1]><v:shape id="Picture_x0020_1" spid="_x0000_i1026" type="#_x0000_t75" alt="Gambar" style="'width:180pt;"> <v:imagedata src="file:///C:\Users\Haris\AppData\Local\Temp\msohtmlclip1\01\clip_image004.jpg" title="Gambar"> </v:shape><![endif]--><!--[if !vml]--><a href="http://tinypic.com/" target="_blank"><img src="http://i47.tinypic.com/156bwia.jpg" alt="Image and video hosting by TinyPic" border="0" /></a>
<br /><!--[endif]--></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >Adapun </span><span style="line-height: 150%;font-family:";font-size:100%;" >Perbedaan Graph dengan Tree</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" > sebagai berikut:<o:p></o:p></span></p> <p class="MsoListParagraphCxSpFirst" style="margin: 0in 0in 0.0001pt 39.3pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:";font-size:100%;" ><span style="">a.<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Pada Tree tidak terdapat Cycle<o:p></o:p></span></p> <p class="MsoListParagraphCxSpLast" style="margin: 0in 0in 0.0001pt 39.3pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:";font-size:100%;" ><span style="">b.<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Pada Graph tidak memiliki root<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; line-height: 150%;"><span style="font-size:100%;"><b style=""><span style="line-height: 150%;font-family:";" lang="IN">2. Istilah-istilah dalam graf<o:p></o:p></span></b></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 21.3pt; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >Kemudian terdapat </span><span style="line-height: 150%;font-family:";font-size:100%;" >istilah-istilah yang berkaitan dengan graph </span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >yaitu:<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >a. </span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Vertex<o:p></o:p></span></p> <p class="MsoListParagraphCxSpFirst" style="margin-bottom: 0.0001pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" >Adalah himpunan node / titik pada sebuah graph.<o:p></o:p></span></p> <p class="MsoListParagraphCxSpLast" style="margin: 0in 0in 0.0001pt 39.3pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:";font-size:100%;" ><span style="">b.<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Edge<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Adalah himpunan garis yang menghubungkan tiap node / vertex.<o:p></o:p></span></p> <p class="MsoListParagraph" style="margin: 0in 0in 0.0001pt 39.3pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:";font-size:100%;" ><span style="">c.<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Adjacent<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 35.45pt; text-align: justify; text-indent: -35.45pt; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Adalah </span><span style="line-height: 150%;font-family:";font-size:100%;" >dua buah titik dikatakan berdekatan (<i>adjacent</i>) jika dua buah titik tersebut terhubung dengan sebuah sisi.</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >Adalah</span><span 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font-size:10.0pt; font-family:"Calibri","sans-serif"; mso-bidi-font-family:"Times New Roman";} </style> <![endif]--> e3 = v2v3<span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >tidak <i>insident </i>dengan titik </span><span style="font-style: italic;">v</span><span style="line-height: 150%;font-family:";font-size:100%;" ><span style="font-style: italic;"><span style="font-size:78%;">1</span></span> </span><span style="line-height: 150%;font-family:";font-size:100%;" >dan titik </span><span style="line-height: 150%; font-style: italic;font-family:";font-size:85%;" >v4</span><span style="line-height: 150%;font-family:";font-size:100%;" >. </span><span style="line-height: 150%;font-family:";font-size:100%;" ><o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Titik </span><span style="font-style: italic;">v1</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="font-size:100%;"><i><span style="line-height: 150%;font-family:";" >adjacent </span></i></span><span style="line-height: 150%;font-family:";font-size:100%;" >dengan titik </span><span style="line-height: 150%; font-style: italic;font-family:";font-size:85%;" >v2</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >dan titik </span><span style="line-height: 150%; font-style: italic;font-family:";font-size:85%;" >v3</span><span style="line-height: 150%;font-family:";font-size:100%;" ></span><span style="line-height: 150%;font-family:";font-size:100%;" >, tetapi titik <span style="font-size:85%;"><span style="font-style: italic;">v1</span></span></span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >tidak <i>adjacent </i>dengan titik</span> <span style="font-style: italic;">v4</span><span style="line-height: 150%;font-family:";font-size:100%;" >. <o:p></o:p></span></p> <p class="MsoListParagraph" style="margin: 0in 0in 0.0001pt 39.3pt; text-align: center; line-height: 150%;" align="center"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><!--[if gte vml 1]><v:shape id="_x0000_i1027" type="#_x0000_t75" style="'width:215.25pt;height:144.75pt;visibility:visible'"> <v:imagedata src="file:///C:\Users\Haris\AppData\Local\Temp\msohtmlclip1\01\clip_image006.emz" title=""> </v:shape><![endif]--><!--[if !vml]--><a href="http://tinypic.com/" target="_blank"><img src="http://i50.tinypic.com/ae1agm.jpg" alt="Image and video hosting by TinyPic" border="0" /></a>
<br /><!--[endif]--></span><span style="line-height: 150%;font-family:";font-size:100%;" ><o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span>d.<span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Weight<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 35.45pt; text-align: justify; text-indent: -35.45pt; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Adalah Sebuah graf G = (V, E) disebut sebuah <b style="">graf berbobot</b> (<i style="">weight graph</i>), apabila terdapat sebuah fungsi bobot bernilai real W pada himpunan E, <o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 35.45pt; text-align: justify; text-indent: -14.15pt; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" ><span style=""> </span>W : E </span><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">®</span></span><span style="line-height: 150%;font-family:";font-size:100%;" > R, <o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 35.45pt; text-align: justify; text-indent: -35.45pt; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >nilai W(e) disebut bobot untuk sisi e, </span><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">"</span></span><span style="line-height: 150%;font-family:";font-size:100%;" > e </span><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">Î</span></span><span style="line-height: 150%;font-family:";font-size:100%;" > E. Graf berbobot tersebut dinyatakan pula sebagai G = (V, E, W).</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Graf berbobot G = (V, E, W) dapat menyatakan <o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 63.8pt; text-align: justify; text-indent: -14.15pt; line-height: 150%; vertical-align: baseline;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">*<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >suatu sistem perhubungan udara, di mana <o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 78pt; text-align: justify; text-indent: -14.15pt; line-height: 150%; vertical-align: baseline;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >V = himpunan kota-kota<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 78pt; text-align: justify; text-indent: -14.15pt; line-height: 150%; vertical-align: baseline;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >E = himpunan penerbangan langsung dari satu kota ke kota lain<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 78pt; text-align: justify; text-indent: -14.15pt; line-height: 150%; vertical-align: baseline;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >W = fungsi bernilai real pada E yang menyatakan jarak atau ongkos atau waktu<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 63.8pt; text-align: justify; text-indent: -14.15pt; line-height: 150%; vertical-align: baseline;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">*<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >suatu sistem jaringan komputer, di mana<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 78pt; text-align: justify; text-indent: -14.2pt; line-height: 150%; vertical-align: baseline;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >V = himpunan komputer<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 78pt; text-align: justify; text-indent: -14.2pt; line-height: 150%; vertical-align: baseline;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >E = himpunan jalur komunikasi langsung antar dua komputer<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 78pt; text-align: justify; text-indent: -14.2pt; line-height: 150%; vertical-align: baseline;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >W = fungsi bernilai real pada E yang menyatakan jarak atau ongkos atau waktu<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span>e.<span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Path<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 35.45pt; text-align: justify; text-indent: -35.45pt; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Adalah <b>Walk dengan setiap vertex berbeda. Contoh, P = D5B4C2A</b></span><span style="font-size:100%;"><b><span style="line-height: 150%;font-family:";" > </span></b></span><span style="line-height: 150%;font-family:";font-size:100%;" >Sebuah <b><u>walk</u></b> (W) didefinisikan sebagai urutan (tdk nol) vertex & edge. Diawali <u>origin</u> vertex dan diakhiri <u>terminus</u> vertex. Dan setiap 2 edge berurutan adalah series. Contoh, W = A1B3C4B1A2.<b><o:p></o:p></b></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span>f.<span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Cycle<o:p></o:p></span></p> <p class="Default" style="margin-left: 0.5in; text-align: justify; line-height: 150%;"><span style="font-size:100%;">Adalah </span><span lang="SV" style="font-size:100%;">Siklus ( <i>Cycle </i>) atau Sirkuit ( <i>Circuit </i>) Lintasan yang berawal dan berakhir pada simpul yang sama </span><span lang="IN" style="font-size:100%;"><o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; line-height: 150%;"><span style="font-size:100%;"><b style=""><span style="line-height: 150%;font-family:";" lang="IN">3. Representasi Graf<o:p></o:p></span></b></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span>Dalam pemrograman, agar data yang ada dalam graph dapat diolah, maka graph harus dinyatakan dalam suatu struktur data yang dapat mewakili graph tersebut. Dalam hal ini graph perlu direpresentasikan kedalam bentuk array dan dimensi yang sering disebut matrix atau direpresentasikan dalam bentuk linked list. Bentuk mana yang dipilih biasanya tergantung kepada efisiensi dan kemudahan dalam membuat program. Berikut ini beberapa bentuk representasi graph:<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;"><b style=""><span style="line-height: 150%;font-family:";" lang="IN">1. Representasi Graph dalam bentuk Matrix:<o:p></o:p></span></b></span></p> <p class="Default" style="margin-left: 0.5in; text-align: justify; line-height: 150%;"><span lang="SV" style="font-size:100%;">1.<span style=""> </span></span><span style="font-size:100%;">Adjacency Matrik Graf Tak Berarah </span></p> <p class="Default" style="margin-left: 0.5in; text-align: justify; line-height: 150%;"><span lang="IN" style="font-size:100%;"><!--[if gte vml 1]><v:shape id="_x0000_i1028" type="#_x0000_t75" style="'width:279pt;height:142.5pt;visibility:visible'"> <v:imagedata src="file:///C:\Users\Haris\AppData\Local\Temp\msohtmlclip1\01\clip_image008.png" title=""> </v:shape><![endif]--><!--[if !vml]--><span style="text-decoration: underline;"><a href="http://tinypic.com/" target="_blank"><img src="http://i47.tinypic.com/11rdgud.jpg" alt="Image and video hosting by TinyPic" border="0" /></a></span>
<br /><!--[endif]--></span><span lang="SV" style="font-size:100%;"><o:p></o:p></span></p> <p class="Default" style="margin-left: 63pt; text-align: justify; line-height: 150%;"><span lang="SV" style="font-size:100%;">Matrik yang digambarkan pada gambar 1b merupakan representasi dalam bentuk Adjacency Matrik dari graf yang digambarkan pada gambar 1a. Beberapa hal yang dapat dilihat atau dapat diterangkan pada Adjacency Matrik tersebut adalah sebagai berikut :<o:p></o:p></span></p> <p class="Default" style="margin-left: 1.25in; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span lang="SV" style="font-size:100%;"><span style="">1.<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span lang="SV" style="font-size:100%;">Matrik yang terbentuk adalah matrik bujur sangkar n x n, dimana n = jumlah simpul yang ada dalam graf tersebut. Matrik ini menyatakan hubungan antara simpul satu dengan simpul lainnya.<o:p></o:p></span></p> <p class="Default" style="margin-left: 1.25in; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span lang="SV" style="font-size:100%;"><span style="">2.<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span lang="SV" style="font-size:100%;">Matrik yang terbentuk adalah matrik simetris dengan sumbu simetris adalah diagonal dari titik kiri atas ke titik kanan bawah.<o:p></o:p></span></p> <p class="Default" style="margin-left: 1.25in; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span lang="SV" style="font-size:100%;"><span style="">3.<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span lang="SV" style="font-size:100%;">Data yang tedapat baik dalam baris maupun kolom, dapat menyatakan degree sebuah simpul. Contoh : baik pada baris D maupun kolom D jumlah angka 1 nya adalah 3 buah, dimana jumlah ini menyatakan degree simpul D.<o:p></o:p></span></p> <p class="Default" style="margin-left: 0.75in; text-align: justify; line-height: 150%;"><span lang="SV" style="font-size:100%;"><o:p> </o:p></span></p> <p class="Default" style="margin-left: 21.3pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;"> </span><span style="font-size:100%;">2.</span><span style="font-size:100%;"> </span><span style="font-size:100%;">Adjacency Matrik Graf Berarah </span></p> <p class="Default" style="margin-left: 0.5in; text-align: justify; line-height: 150%;"><span style="font-size:100%;"> </span><span lang="IN" style="font-size:100%;"><!--[if gte vml 1]><v:shape id="Picture_x0020_2" spid="_x0000_i1029" type="#_x0000_t75" style="'width:261pt;height:147.75pt;"> <v:imagedata src="file:///C:\Users\Haris\AppData\Local\Temp\msohtmlclip1\01\clip_image010.png" title=""> </v:shape><![endif]--><!--[if !vml]--><a href="http://tinypic.com/" target="_blank"><img src="http://i48.tinypic.com/2wp3zpy.jpg" alt="Image and video hosting by TinyPic" border="0" /></a>
<br /><!--[endif]--></span></p> <p class="Default" style="margin-left: 63pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;">Matrik yang digambarkan pada gambar 2b merupakan representasi dalam bentuk Adjacency Matrik dari graf yang digambarkan pada gambar 2a. Beberapa hal yang dapat dilihat atau dapat diterangkan pada Adjacency Matrik tersebut adalah sebagai berikut :</span></p> <p class="Default" style="margin-left: 1.25in; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span lang="SV" style="font-size:100%;"><span style="">1.<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="font-size:100%;">Matrik yang terbentuk adalah matrik bujur sangkar n x n, dimana n = jumlah simpul yang ada dalam graf tersebut. </span><span lang="SV" style="font-size:100%;">Matrik ini menyatakan hubungan antara simpul satu dengan simpul lainnya.<o:p></o:p></span></p> <p class="Default" style="margin-left: 1.25in; text-align: justify; text-indent: -0.25in; line-height: 150%;"><span lang="IN" style="font-size:100%;">2.<span style=""> </span></span><span lang="SV" style="font-size:100%;">Matrik yang terbentuk mungkin simetris mungkin juga tidak simetris. Menjadi<o:p></o:p></span></p> <p class="Default" style="margin-left: 1in; text-align: justify; line-height: 150%;"><span lang="IN" style="font-size:100%;"><span style=""> </span></span><span lang="SV" style="font-size:100%;">Simetris bila hubungan antara dua buah simpul (v1 dan v2) terdapat busur dari <o:p></o:p></span></p> <p class="Default" style="margin-left: 1in; text-align: justify; line-height: 150%;"><span lang="SV" style="font-size:100%;"><span style=""> </span>v1 ke v2 dan juga sebaliknya.<o:p></o:p></span></p> <p class="Default" style="margin-left: 92.15pt; text-align: justify; text-indent: -21.25pt; line-height: 150%;"><span lang="SV" style="font-size:100%;">3.<span style=""> </span>Hal pokok yang dinyatakan oleh matrik ini adalah : busur yang ’keluar’ dari suatu simpul. Dengan demikian, data yang terdapat dalam suatu baris, dapat menyatakan outdegree simpul yang bersangkutan. </span><span lang="IN" style="font-size:100%;"><o:p></o:p></span></p> <p class="Default" style="margin-left: 92.15pt; text-align: justify; text-indent: -21.25pt; line-height: 150%;"><span lang="IN" style="font-size:100%;"><span style=""> </span><span style=""> </span></span><span lang="SV" style="font-size:100%;">Contoh : Jumlah elemen</span><span lang="SV" style="font-size:100%;"> </span><span lang="SV" style="font-size:100%;">yang nilainya = 1 pada baris B ada 3 elemen,ini menyatakan jumlah outdegree</span><span lang="SV" style="font-size:100%;"> </span><span lang="SV" style="font-size:100%;">simpul B adalah 3 buah.<o:p></o:p></span></p> <p class="Default" style="margin-left: 92.15pt; text-align: justify; text-indent: -21.25pt; line-height: 150%;"><span lang="SV" style="font-size:100%;">4.<span style=""> </span>Data yang terdapat dalam suatu kolom, dapat menyatakan indegree simpul bersangkutan.</span><span lang="IN" style="font-size:100%;"><o:p></o:p></span></p> <p class="Default" style="margin-left: 92.15pt; text-align: justify; text-indent: -21.25pt; line-height: 150%;"><span lang="IN" style="font-size:100%;"><span style=""> </span></span><span lang="SV" style="font-size:100%;">Contoh : Jumlah elemen yang nilainya 1 pada kolom B ada 2 elemen, ini menyatakan indegree simpul B adalah 2 buah.<span style=""> </span><o:p></o:p></span></p> <p class="Default" style="margin-left: 0.75in; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="Default" style="margin-left: 0.75in; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="Default" style="margin-left: 0.75in; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="Default" style="margin-left: 0.75in; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="Default" style="margin-left: 0.75in; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="Default" style="margin-left: 0.75in; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="Default" style="margin-left: 0.75in; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="Default" style="margin-left: 0.75in; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="Default" style="margin-left: 0.75in; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="Default" style="margin-left: 0.75in; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="Default" style="margin-left: 0.75in; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="Default" style="text-align: justify; line-height: 150%;"><span lang="IN" style="font-size:100%;"><span style=""> </span><span style=""> </span></span><span lang="SV" style="font-size:100%;">3.<span style=""> </span></span><span style="font-size:100%;">Adjacency Matrik Graf Berbobot Tak Berarah </span></p> <p class="Default" style="margin-left: 27pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;"> </span><span lang="IN" style="font-size:100%;"><!--[if gte vml 1]><v:shape id="Picture_x0020_3" spid="_x0000_i1030" type="#_x0000_t75" style="'width:297pt;height:173.25pt;visibility:visible'"> <v:imagedata src="file:///C:\Users\Haris\AppData\Local\Temp\msohtmlclip1\01\clip_image012.png" title=""> </v:shape><![endif]--><!--[if !vml]--><a href="http://tinypic.com/" target="_blank"><img src="http://i48.tinypic.com/1zhyit.jpg" alt="Image and video hosting by TinyPic" border="0" /></a>
<br /><!--[endif]--></span><span style="font-size:100%;"> </span></p> <p class="Default" style="margin-left: 27pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;"> </span></p> <p class="Default" style="margin-left: 27pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;"> </span><span style="font-size:100%;">Nilai yang ada dalam tiap elemen matrik, menyatakan bobot busur yang menghubungkan dua buah simpul yang bersangkutan. Untuk dua buah simpul yang tidak berhubungan langsung oleh sebuah busur, maka dianggap dihubungkan oleh sebuah</span><span style="font-size:100%;"> </span><span style="font-size:100%;">busur yang nilai bobotnya tidak terhingga. Dalam pemograman, karena keperluan algoritma, maka dari total bobot seluruh busur yang ada atau yang mungkin ada.</span><span lang="IN" style="font-size:100%;"><o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;">Contoh: pada gambar 3a simpul A dan C tidak berhubungan langsung melalui</span><span style="font-size:100%;"> </span><span style="font-size:100%;">sebuah busur, maka untuk elemen matrik yang bersangkutan diisi dengan nilai 999</span><span style="font-size:100%;"> </span><span style="font-size:100%;">karena</span><span lang="IN" style="font-size:100%;"> n</span><span style="font-size:100%;">ilai 999 dalam kasus ini cukup mewakili nilai tidak terhingga.</span><span lang="IN" style="font-size:100%;"><o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify; line-height: 150%;"><span lang="IN" style="font-size:100%;"><o:p> </o:p></span></p> <p class="Default" style="text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span><b style="">2. </b></span><span style="font-size:100%;"><b style=""><span style="" lang="SV">Representasi graf dalam bentuk Linked List<o:p></o:p></span></b></span></p> <p class="Default" style="text-align: justify; line-height: 150%;"><span lang="SV" style="font-size:100%;"><span style=""> </span></span><span lang="IN" style="font-size:100%;"><span style=""> </span></span><span lang="SV" style="font-size:100%;">1. </span><span lang="IN" style="font-size:100%;"><span style=""> </span></span><span lang="SV" style="font-size:100%;">Adjacency List<o:p></o:p></span></p> <p class="Default" style="margin-left: 42.55pt; text-align: justify; line-height: 150%;"><span lang="IN" style="font-size:100%;"><!--[if gte vml 1]><v:shape id="Picture_x0020_7" spid="_x0000_i1031" type="#_x0000_t75" style="'width:315pt;height:155.25pt;"> <v:imagedata src="file:///C:\Users\Haris\AppData\Local\Temp\msohtmlclip1\01\clip_image014.png" title=""> </v:shape><![endif]--><!--[if !vml]--><a href="http://tinypic.com/" target="_blank"><img src="http://i48.tinypic.com/2lay6py.jpg" alt="Image and video hosting by TinyPic" border="0" /></a>
<br /><!--[endif]--></span><span lang="SV" style="font-size:100%;"><o:p></o:p></span></p> <p class="Default" style="margin-left: 28.35pt; text-align: justify; line-height: 150%;"><span lang="SV" style="font-size:100%;"><span style=""> </span>Bila ingin direpresentasikan dalambentuk linked list, dapat diilustrasikan secara</span><span lang="SV" style="font-size:100%;"> </span><span lang="SV" style="font-size:100%;">sederhana seperti gamabar 4b. Dari ilustrasi sederhana tersebut terlihat ada 5 buah simpul A,B,C,D,dan E yang dibariskan dari atas kebawah seperti pada gambar 4a.</span><span lang="SV" style="font-size:100%;"> </span><span lang="SV" style="font-size:100%;">Kemudian dari masing-masing simpul ’keluar’ pointer kearah kanan yang menunjuk</span><span lang="SV" style="font-size:100%;"> </span><span lang="SV" style="font-size:100%;">simpul-simpul lain. Salah satu contoh, yang dapat dilihat pada gambar 4b dimana A</span><span lang="SV" style="font-size:100%;"> </span><span lang="SV" style="font-size:100%;">menunjuk simpul B dan simpul D.</span><span lang="IN" style="font-size:100%;"><o:p></o:p></span></p> <p class="Default" style="margin-left: 56.7pt; text-align: justify; line-height: 150%;"><span lang="IN" style="font-size:100%;"><!--[if gte vml 1]><v:shape id="Picture_x0020_8" spid="_x0000_i1032" type="#_x0000_t75" style="'width:333pt;height:203.25pt;"> <v:imagedata src="file:///C:\Users\Haris\AppData\Local\Temp\msohtmlclip1\01\clip_image016.png" title=""> </v:shape><![endif]--><!--[if !vml]--><a href="http://tinypic.com/" target="_blank"><img src="http://i48.tinypic.com/sg65qo.jpg" alt="Image and video hosting by TinyPic" border="0" /></a>
<br /><!--[endif]--></span><span lang="SV" style="font-size:100%;"><o:p></o:p></span></p> <p class="Default" style="margin-left: 28.35pt; text-align: justify; line-height: 150%;"><span lang="SV" style="font-size:100%;"><span style=""> </span>Dalam Adjacency List, kita perlu membedakan antara simpul-vertex dan simpul-edge. Simpul-vertex untuk menyatakan simpul atau vertex, dan simpul-edge untuk menyatakan hubungan antar simpul yang biasa disebut <span style=""> </span>busur. Struktur keduanya bisa sama, bisa juga tidak sama,tergantung kebutuhan.Untuk memudahkan pembuatan program, struktur kedua macam simpul dibuat sama seperti yang digambarkan pada<span style=""> </span>gambar 5c. Yang membedakan antara simpul-vertex dan simpul-edge, adalah anggapan terhadap simpul tersebut. </span><span lang="IT" style="font-size:100%;">Dalam contoh ini, terlihat struktur simpul dibuat terdiri dari 3 elemen. Satu elemen untuk INFO, dua elemen untuk pointer.pointer kiri (left) dan pointer kanan (right).<o:p></o:p></span></p> <p class="Default" style="margin-left: 0.25in; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if gte vml 1]><v:rect id="_x0000_s1027" style="'position:absolute;left:0;text-align:left;margin-left:88.5pt;"><![endif]--><!--[if !vml]--><span style="position: absolute; z-index: -1; left: 0px; margin-left: 117px; margin-top: 14px; width: 259px; height: 181px;font-size:100%;" ><img src="file:///C:/Users/Haris/AppData/Local/Temp/msohtmlclip1/01/clip_image018.gif" shapes="_x0000_s1027" width="259" height="181" /></span><!--[endif]--><span style="font-size:100%;"> </span><span style="font-size:100%;"> </span></p> <p class="Default" style="margin-left: 92.15pt; text-align: justify; text-indent: -10.9pt; line-height: 150%;"><span style="font-size:100%;"> </span><span style="font-size:100%;"> </span><span style="font-size:100%;">Struct tipes{</span></p> <p class="Default" style="margin-left: 92.15pt; text-align: justify; text-indent: -10.9pt; line-height: 150%;"><span style="font-size:100%;"> </span><span style="font-size:100%;"> </span><span style="font-size:100%;">Struct tipes *Left;</span></p> <p class="Default" style="margin-left: 92.15pt; text-align: justify; text-indent: -10.9pt; line-height: 150%;"><span style="font-size:100%;"> </span><span style="font-size:100%;"> </span><span style="font-size:100%;">int INFO;</span></p> <p class="Default" style="margin-left: 92.15pt; text-align: justify; text-indent: -10.9pt; line-height: 150%;"><span style="font-size:100%;"> </span><span style="font-size:100%;"> </span><span style="font-size:100%;">Struct tipes *Right;</span></p> <p class="Default" style="margin-left: 92.15pt; text-align: justify; text-indent: -10.9pt; line-height: 150%;"><span style="font-size:100%;"> </span><span style="font-size:100%;"> </span><span style="font-size:100%;">};</span></p> <p class="Default" style="margin-left: 92.15pt; text-align: justify; text-indent: -10.9pt; line-height: 150%;"><span style="font-size:100%;"> </span><span style="font-size:100%;"> </span><span style="font-size:100%;">Struct tipes *First,*Pvertex,*Pedge;</span></p> <p class="Default" style="text-align: justify; line-height: 150%;"><span style="font-size:100%;"><b><o:p> </o:p></b></span></p> <p class="Default" style="margin-left: 0.5in; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="font-size:100%;">-<span style="font: 7pt "Times New Roman";"> </span></span><!--[endif]--><span style="font-size:100%;">Bila simpul dianggap sebagai simpul-vertex, maka :</span></p> <p class="Default" style="margin-left: 35.45pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;"> </span><span lang="IN" style="font-size:100%;"><span style=""> </span></span><span style="font-size:100%;">Pointer left digunakan untuk menunjuk simpul berikutnya dalam untaian simpul-simpul yang ada,atau diisi NULL bila sudah tidak ada simpul yang pelu</span><span style="font-size:100%;"> </span><span style="font-size:100%;">ditunjuk.Sedangkan pointer Right digunakan untuk menunjuk simpul edge yang pertama.</span><span style="font-size:100%;"> </span><span style="font-size:100%;"> </span><span style="font-size:100%;"> </span></p> <p class="Default" style="margin-left: 0.5in; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="font-size:100%;">-<span style="font: 7pt "Times New Roman";"> </span></span><!--[endif]--><span style="font-size:100%;">Bila Simpul dianggap sebagai simpul-edge, maka : </span></p> <p class="Default" style="margin-left: 35.45pt; text-align: justify; text-indent: -17.45pt; line-height: 150%;"><span style="font-size:100%;"> </span><span lang="IN" style="font-size:100%;"><span style=""> </span></span><span style="font-size:100%;">Pointer left digunakan untuk menunjuk simpul-vertex ‘tujuan’ yang berhubungan dengan simpul-vertex ‘asal’ dan pointer right digunakan untuk menunjuk simpul-edge berkiutnya bila masih ada, atau diisi NULL bila tak ada lagi simpul-busur yang ditunjuk.</span><span lang="IN" style="font-size:100%;"><o:p></o:p></span></p> <p class="Default" style="text-align: justify; line-height: 150%;"><span style="font-size:100%;"><b><span style="" lang="IN"><o:p> </o:p></span></b></span></p> <p class="Default" style="text-align: justify; line-height: 150%;"><span style="font-size:100%;"><b style=""><span style="" lang="IN">4. Contoh Representasi Graph dalam bahasa C<o:p></o:p></span></b></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">typedef struct vertex<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">{<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>char nama[100];<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>float x, y; <o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>float status;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>float jarak;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>struct vertex *next,*connector;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">};<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">typedef struct vertex *pvertex;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><o:p> </o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">typedef struct edge<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">{<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>float jarak;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>char titik1[100];<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>char titik2[100];<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>edge * next;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">};<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">typedef struct edge * garis;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">garis awalga = NULL, akhirga= NULL;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><o:p> </o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">pvertex makeptree (float x, float y, char nama[])<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">{<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>pvertex baru;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span><o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>baru=(pvertex)malloc(sizeof(struct vertex));<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>baru->x=x;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>baru->y=y;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>baru->status=0;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>baru->next=NULL;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>baru->connector=NULL;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>strcpy(baru->nama,nama);<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">}<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><o:p> </o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">void makevertex (pvertex *vertex,float x,float y,char nama[])<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">{<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>pvertex p , q ;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>p = makeptree(x,y,nama);<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span><o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>q = *vertex;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>if(q == NULL)<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>*vertex = p ;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>else<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>{<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>for(;q->next;q=q->next)<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>{<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>}<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>q->next = p;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>}<span style=""> </span><o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">}<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><o:p> </o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">void makeedge(garis * awalga, garis * akhirga, char titik1[], char titik2[], float jarak)<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">{<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span><span style=""> </span>garis baru;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>baru=(garis)malloc(sizeof(edge));<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>baru->jarak=jarak;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>strcpy(baru->titik1,titik1);<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>strcpy(baru->titik2, titik2);<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>if(*awalga==NULL)<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>{<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>*awalga=baru;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>*akhirga=baru;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>}<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>else<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>{<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span><span style=""> </span>(*akhirga)->next=baru;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>(*akhirga)=baru;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>}<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">}<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><o:p> </o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">void cek(pvertex vertex, int jumlah)<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">{<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>pvertex awal,p,q;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>float jarak;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>float min ;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>float temp;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>awal = vertex;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>p = awal;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>for(int i=0;i<jumlah-1;i++)><o:p></o:p></jumlah-1;i++)></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>{<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span><span style=""> </span>min = 999;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>p->status =1;<span style=""> </span><o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>for(q=awal->next;q!=NULL;q=q->next)<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>{<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>if(q->status!=1)<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>{<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>jarak=(((p->x)-(q->x))*((p->x)-(q->x)))+(((p->y)-(q->y))*((p->y)-(q->y)));<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>jarak=sqrt(jarak); <o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span><span style=""> </span>if (min>jarak)<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>{<span style=""> </span><o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>min = jarak;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>p->jarak = min;<span style=""> </span><o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>p->connector = q;<span style=""> </span><o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>} <o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>makeedge(&awalga,&akhirga,p->nama,q->nama,p->jarak);<span style=""> </span><o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>}<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>}<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>p = p->connector;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>}<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>temp=(((p->x)-(awal->x))*((p->x)-(awal->x)))+(((p->y)-(awal->y))*((p->y)-(awal->y)));<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>p->jarak = sqrt(temp);<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>p->connector = awal;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">}<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><o:p> </o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">void displayedge(pvertex vertex,int jumlah)<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;">{<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>pvertex list = vertex;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>float tot;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>tot += vertex->jarak;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>printf("\n\t%s ke %s\n", list->nama,list->connector->nama);<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>list = list->connector;<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>for(int a=0; a<jumlah-1;></jumlah-1;></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>{<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> </span>printf("\n\t%s ke %s\n", list->nama,list->connector->nama);<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span lang="IN" style="font-size:100%;"><span style=""> 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style="margin-bottom: 0.0001pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;"><b style=""><span style="line-height: 150%;font-family:";" lang="IN">5. Kaitan Shorhest Path Problem dalam Graf<o:p></o:p></span></b></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Lintasan terpendek merupakan salah satu dari masalah yang dapat diselesaikan dengan graf. Jika diberikan sebuah graf berbobot, masalah lintasan terpendek adalah bagaimana kita mencari sebuah jalur pada graf yang meminimalkan jumlah bobot sisi pembentuk</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >jalur tersebut.</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" > <o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Terdapat beberapa macam persoalan lintasan terpendek antara lain:</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 49.65pt; text-align: justify; text-indent: -14.15pt; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Lintasan terpendek antara dua buah simpul tertentu (<i>a pair shortets path</i>).<o:p></o:p></span></p> <p class="MsoNormal" style="margin-left: 49.65pt; text-align: justify; text-indent: -14.15pt; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Lintasan terpendek antara semua pasangan simpul (<i>all pairs shortest path</i>).<o:p></o:p></span></p> <p class="MsoNormal" style="margin-left: 49.65pt; text-align: justify; text-indent: -14.15pt; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Lintasan terpendek dari simpul tertentu ke semua simpul yang lain (<i>single-source shoertest path</i>).<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 49.65pt; text-align: justify; text-indent: -14.15pt; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Lintasan terpendek antara dua buah simpul yang melalui beberapa simpul tertentu (<i>intermediate shortest path</i>).<o:p></o:p></span></p> <p class="Default" style="margin-left: 14.2pt; text-align: justify; text-indent: 21.25pt; line-height: 150%;"><span lang="SV" style="font-size:100%;">Jalur terpendek adalah suatu jaringan pengarahan perjalanan dimana sesorang pengarah jalan ingin menentukan jalur terpendek antara dua kota, berdasarkan beberapa jalur alternatif yang tersedia, dimana titik tujuan hanya satu. Gambar 2.6 menunjukkan suatu graf ABCDEFG yang berarah dan tidak berbobot.</span></p><p class="Default" style="margin-left: 14.2pt; text-align: justify; text-indent: 21.25pt; line-height: 150%;"><a href="http://tinypic.com/" target="_blank"><img src="http://i50.tinypic.com/nd4msw.jpg" alt="Image and video hosting by TinyPic" border="0" /></a>
<br /><span lang="SV" style="font-size:100%;"><o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: 150%;"><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" spt="75" preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"> <v:f eqn="sum @0 1 0"> <v:f eqn="sum 0 0 @1"> <v:f eqn="prod @2 1 2"> <v:f eqn="prod @3 21600 pixelWidth"> <v:f eqn="prod @3 21600 pixelHeight"> <v:f eqn="sum @0 0 1"> <v:f eqn="prod @6 1 2"> <v:f eqn="prod @7 21600 pixelWidth"> <v:f eqn="sum @8 21600 0"> <v:f eqn="prod @7 21600 pixelHeight"> <v:f eqn="sum @10 21600 0"> </v:formulas> <v:path extrusionok="f" gradientshapeok="t" connecttype="rect"> <o:lock ext="edit" aspectratio="t"> </v:shapetype><v:shape id="Picture_x0020_12" spid="_x0000_s1026" type="#_x0000_t75" style="'position:absolute;left:0;text-align:left;margin-left:57pt;margin-top:.35pt;"> <v:imagedata src="file:///C:\Users\Haris\AppData\Local\Temp\msohtmlclip1\01\clip_image001.png" title=""> </v:shape><![endif]--><!--[if !vml]--><span style="position: absolute; z-index: -5; left: 0px; margin-left: 76px; margin-top: 0px; width: 283px; height: 175px;font-size:100%;" ><img src="file:///C:/Users/Haris/AppData/Local/Temp/msohtmlclip1/01/clip_image002.jpg" shapes="Picture_x0020_12" width="283" height="175" /></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" ><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 49.65pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 49.65pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 49.65pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 49.65pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 49.65pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="Default" style="text-align: justify;"><span style="font-size:100%;"><b><o:p> </o:p></b></span></p> <p class="Default" style="margin-left: 14.2pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;"><b>Pathing Algorhitm </b></span></p> <p class="Default" style="margin-left: 14.2pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;">Pathing Algorithm adalah sebuah algoritma yang digunakan untuk mencari suatu solusi dalam menentukan lintasan terpendek dari suatu graf. Saat ini terdapat banyak sekali algoritma yang digunakan untuk menyelesaikan persoalan lintasan terpendek diantaranya Algoritma <i>Djikstra </i>( djikstra algorithm ) dan Algoritma <i>Bellman-Ford </i>( bellman-ford algorithm ).</span><span lang="IN" style="font-size:100%;"><o:p></o:p></span></p> <p class="Default" style="margin-left: 14.2pt; text-align: justify; line-height: 150%;"><span lang="IN" style="font-size:100%;"><o:p> </o:p></span></p> <p class="Default" style="margin-left: 14.2pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;"><b style=""><span style="" lang="IN">Algoritma Djikstra<o:p></o:p></span></b></span></p> <p style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; line-height: 150%;"><span lang="IN" style="font-size:100%;"><span style=""> </span>Algoritma Dijkstra, dinamai menurut penemunya, <a href="http://en.wikipedia.org/wiki/Edsger_Dijkstra" target="_blank" title="link edsger dijkstra"><span style="">Edsger Dijkstra</span></a>, adalah algoritma dengan prinsip greedy yang memecahkan masalah lintasan terpendek untuk sebuah graf berarah dengan bobot sisi yang tidak negatif.</span></p> <p style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; line-height: 150%;"><span lang="IN" style="font-size:100%;"><span style=""> </span>Algoritma Dijkstra merupakan salah satu varian bentuk algoritma populer dalam pemecahan persoalan yang terkait dengan masalah optimasi. Sifatnya sederhana dan lempang (straightforward). Sesuai dengan arti greedy yang secara harafiah berarti tamak atau rakus - namun tidak dalam konteks negatif -, algoritma greedy ini hanya memikirkan solusi terbaik yang akan diambil pada setiap langkah tanpa memikirkan konsekuensi ke depan. </span></p> <p style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; line-height: 150%;"><span lang="IN" style="font-size:100%;">Input algoritma ini adalah sebuah graf berarah yang berbobot (<i>weighted directed graph</i>) <i>G</i> dan sebuah sumber <a href="http://id.wikipedia.org/w/index.php?title=Vertex&action=edit&redlink=1" title="Vertex (halaman belum tersedia)"><i><span style="color: rgb(204, 34, 0);">vertex</span></i></a> <i>s</i> dalam <i>G</i> dan <i>V</i> adalah himpunan semua <a href="http://id.wikipedia.org/w/index.php?title=Vertices&action=edit&redlink=1" title="Vertices (halaman belum tersedia)"><span style="color: rgb(204, 34, 0);">vertices</span></a> dalam graph <i>G</i>.</span></p> <p style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: 21.8pt; line-height: 150%;"><span lang="IN" style="font-size:100%;">Setiap sisi dari graf ini adalah pasangan vertices (<i>u</i>,<i>v</i>) yang melambangkan hubungan dari <i>vertex</i> <i>u</i> ke <i>vertex</i> <i>v</i>. Himpunan semua tepi disebut <i>E</i>. Bobot (<i>weights</i>) dari semua sisi dihitung dengan fungsi :<span style=""> </span></span><span style="font-size:100%;"><i><span style="line-height: 150%;font-family:";" lang="IN">w</span></i></span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >: <i>E</i> → [0, ∞), </span><span lang="IN" style="font-size:100%;">jadi <i>w</i>(<i>u</i>,<i>v</i>) adalah jarak tak-negatif dari vertex <i>u</i> ke vertex <i>v</i>. Ongkos (<i>cost</i>) dari sebuah sisi dapat dianggap sebagai jarak antara dua <i>vertex</i>, yaitu jumlah jarak semua sisi dalam jalur tersebut. Untuk sepasang vertex <i>s</i> dan <i>t</i> dalam <i>V</i>, algoritma ini menghitung jarak terpendek dari <i>s</i> ke <i>t</i>.</span></p> <p style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: 21.8pt; line-height: 150%;"><span lang="IN" style="font-size:100%;"><o:p> </o:p></span></p> <p class="Default" style="margin-left: 14.2pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;"><b>Algoritma Bellman-Ford<i> </i></b></span></p> <p class="Default" style="margin-left: 14.2pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;">Algoritma Bellman-Ford menghitung jarak terpendek (dari satu sumber) pada sebuah digraf berbobot. Maksudnya dari satu sumber ialah bahwa ia menghitung semua jarak terpendek yang berawal dari satu titik node. Algoritma Dijkstra dapat lebih cepat mencari hal yang sama dengan syarat tidak ada sisi (edge) yang berbobot negatif. </span><span lang="SV" style="font-size:100%;">Maka Algoritma Bellman-Ford hanya digunakan jika ada sisi berbobot negatif. <o:p></o:p></span></p> <p class="Default" style="margin-left: 14.2pt; text-align: justify; line-height: 150%;"><span lang="SV" style="font-size:100%;">Algoritma Bellman-Ford menggunakan waktu sebesar O(V.E), di mana V dan E adalah menyatakan banyaknya sisi dan titik. Dalam konteks ini, bobot ekivalen dengan jarak dalam sebuah sisi. </span><span lang="IN" style="font-size:100%;"><o:p></o:p></span></p> <p class="Default" style="text-align: justify; line-height: 150%;"><span lang="IN" style="font-size:100%;"><o:p> </o:p></span></p> <p class="Default" style="text-align: justify; line-height: 150%;"><span style="font-size:100%;"><b style=""><span style="" lang="IN">6. Algoritma tentang TSP,CPP,Coloring Graph dan MST<o:p></o:p></span></b></span></p> <p style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: 150%;"><span lang="IN" style="font-size:100%;"><span style=""> </span>a.<span style=""> </span>Travelling Salesman Problem</span></p> <p class="Default" style="margin-left: 28.35pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;">Traveling Salesman Problem </span><span style="font-size:100%;">(TSP) pertama kali diperkenalkan oleh Rand pada tahun 1948, reputasi Rand membuat TSP dikenal dengan baik dan menjadi masalah yang populer. TSP merupakan persoalan yang mempunyai konsep sederhana dan mudah dipahami.<span style=""> </span></span><span style="font-size:100%;">Permasalahan TSP <i>(Traveling Salesman Problem </i>) adalah permasalahan dimana seorang <i>salesman </i>harus mengunjungi semua kota dimana tiap kota hanya dikunjungi sekali, dan dia harus mulai dari dan kembali ke kota asal. </span><span style="font-size:100%;">Pada TSP, optimasi yang diinginkan agar ditemukan rute perjalanan terpendek</span><span style="font-size:100%;"> </span><span lang="IN" style="font-size:100%;">untuk melewati sejumlah kota dengan jalur tertentu sehingga setiap kota hanya terlewati satu kali dan perjalanan diakhiri dengan kembali ke kota semula. Pendekatan dengan menggunakan Jaringan Saraf </span><span lang="IN" style="font-size:100%;">Kohonen Self Organizing <span style="">memberikan solusi atau penyelesaian dalam perhitungan waktu yang lebih singkat dibandingkan dengan sejumlah algoritma lain yang diterapkan pada komputer dalam bentuk program. </span></span><span style="font-size:100%;"><b style=""><i style="">The Travelling Salesman Problem </i></b>adalah sebuah bentuk permasalahan riil yang mempunyai bentuk permodelan weight hamiltonian cycle. Dalam permodelan ini, seorang salesman dalam pekerjaannya diharuskan untuk mengunjungi pelanggannya yang berada pada beberapa kota yang</span><span style="font-size:100%;"> </span><span style="font-size:100%;">tiap-tiap kotaknya mempunyai jarak berbeda-beda. Untuk</span><span style="font-size:100%;"> </span><span style="font-size:100%;">mengefisiensikan beban kerjanya, salesman tersebut, dia harus merancang sebuah rute perjalanan dengan waktu minimal. Selain itu, demi efisiensi biaya dan waktu, salesman tersebut berusaha agar dia tidak melewati satu kota yang sama dua kali. Berikut ini adalah gambar permodelan dari problem travelling salesman problem.</span></p><p class="Default" style="margin-left: 28.35pt; text-align: justify; line-height: 150%;"><a href="http://tinypic.com/" target="_blank"><img src="http://i46.tinypic.com/2hej4o1.jpg" alt="Image and video hosting by TinyPic" border="0" /></a>
<br /><span style="line-height: 150%;font-size:100%;" ><o:p></o:p></span></p> <p style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: 150%;"><!--[if gte vml 1]><v:shape id="Picture_x0020_5" spid="_x0000_s1027" type="#_x0000_t75" style="'position:absolute;left:0;"> <v:imagedata src="file:///C:\Users\Haris\AppData\Local\Temp\msohtmlclip1\01\clip_image003.png" title=""> </v:shape><![endif]--><!--[if !vml]--><span style="position: absolute; z-index: -4; left: 0px; margin-left: 114px; margin-top: 21px; width: 323px; height: 205px;font-size:100%;" ><img src="file:///C:/Users/Haris/AppData/Local/Temp/msohtmlclip1/01/clip_image004.jpg" shapes="Picture_x0020_5" width="323" height="205" /></span><!--[endif]--></p> <p class="Default" style="text-align: justify; line-height: 150%;"><span lang="IN" style="font-size:100%;"><o:p> </o:p></span></p> <p style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; line-height: 150%;"><span style="font-size:100%;"><b style=""><span lang="IN"><o:p> </o:p></span></b></span></p> <p class="MsoNormal"><span lang="IN" style="font-size:100%;"><o:p> </o:p></span></p> <p class="MsoNormal"><span lang="IN" style="font-size:100%;"><o:p> </o:p></span></p> <p class="MsoNormal"><span lang="IN" style="font-size:100%;"><o:p> </o:p></span></p> <p class="MsoNormal"><span lang="IN" style="font-size:100%;"><o:p> </o:p></span></p> <p class="MsoNormal"><span lang="IN" style="font-size:100%;"><o:p> </o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span>Berikut adalah Algoritma untuk mencari TSP:<o:p></o:p></span></p> <p class="MsoListParagraphCxSpFirst" style="margin: 0in 0in 0.0001pt 49.65pt; text-align: justify; text-indent: -21.3pt; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" lang="IN" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Mula-mula dimulai dari U cari nilai Edge yang terkecil dan masih belum<span style=""> </span>dilewati</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >dalam rute. Maka dipilih Edge U-Y yang mempunyai nilai 2. Kemudian tandai titik U dan Y agar tidak dilewati lagi.</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 49.65pt; text-align: justify; text-indent: -21.3pt; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" lang="IN" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Kemudian dari titik Y pilih nilai edge terkecil dimana vertex tujuannya belum ditandai/tidak menimbulkan cycle. Dalam hal ini dipilih edge Y-Z, kemudian tandai vertex Z.</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 49.65pt; text-align: justify; text-indent: -21.3pt; line-height: normal;"><!--[if !supportLists]--><span style=";font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style=";font-family:";font-size:100%;" >Sama dengan step 1 dan step 2. Dalam hal ini, dipilih edge Z-W sebagai rute.<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 49.65pt; text-align: justify; text-indent: -21.3pt; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" lang="IN" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Pada vertex W, Nilai edge yang terkecil ada pada edge U-W, tetapi karena edge ini menimbulkan cycle, maka edge ini tidak dapat digunakan, demikian halnya dengan edge W-Y, sehingga yang dipilih sebagai rute adalah Edge W-X</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 49.65pt; text-align: justify; text-indent: -21.3pt; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" lang="IN" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Karena semua vertex sudah terhubung dan tidak ada cycle, maka path pada gambar 5 adalah solusi dari problem untuk titik U</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 49.65pt; text-align: justify; text-indent: -21.3pt;"><!--[if !supportLists]--><span style="line-height: 115%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 115%;font-family:";font-size:100%;" >Jadi, yang akan dilalui adalah Path : U – Y – Z – W – X – V</span><span style="line-height: 115%;font-family:";font-size:100%;" > </span><span style="line-height: 115%;font-family:";font-size:100%;" >Panjang path : 142<o:p></o:p></span></p> <p class="MsoListParagraphCxSpLast" style="margin-left: 49.65pt; text-align: justify;"><span style="line-height: 115%;font-family:";font-size:100%;" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" ><span style=""> </span><span lang="IN">b.<span style=""> </span>Chinese Postman Problem<o:p></o:p></span></span></p> <p class="MsoListParagraphCxSpFirst" style="margin: 0in 0in 0.0001pt 74.25pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" lang="IN" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >Masalah Chinese Postman Problem pertama kali diformulasikan dalam bentuk masalah untuk menentukan sisi terpendek bagi seorang tukang pos untuk melewati semua jalan yang ada dan kembali ke tempat semula. Masalah ini dikemukakan oleh Kwan Mei-Ko di awal 1960-an dalam jurnal Chinese Mathematics. Dalam istilah graf definisi CPP adalah mencari lintasan pada suatu graf berbobot yang terhubung yang melewati semua sisi (minimal sekali) dengan jumlah bobot minimum dari suatu simpul kembali ke simpul awal. Postman yang mengantarkan surat di suatu daerah tertentu berkeinginan untuk mengetahui circuit yang menjelahi setiap jalan (dalam hal ini mengikuti arah, jika hanya ada 1 jalur), berawal dan berakhir di kantor. Permasalahan ini adalah permasalahan teori graf, yaitu :<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 74.25pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" lang="IN" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >- jalan adalah directed edge atau busur berarah<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 74.25pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" lang="IN" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >- persimpangan jalan adalah vertex atau simpul<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 74.25pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" lang="IN" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >Postman membutuhkan Chinese Postman Tour (CPT) yang paling pendek, dengan pengulangan kunjungan jalan seminimal mungkin. Biaya CPT didefinisikan sebagai jumlah total berat/weight edge atau total jarak yang dibutuhkan. CPT dikatakan optimal jika CPT tersebut memiliki biaya minimal. Jika ada beberapa berat/weight edge yang negatif, maka CPT yang optimal tidak dapat didefinisikan. Hal ini disebabkan karena postman akan mengulang sampai tidak terhingga untuk mengunjungi jalan tersebut untuk mendapatkan biaya lebih rendah.<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 74.25pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" lang="IN" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >Sebelum memulai perjalanannya tukang pos harus pergi ke kantor pos untuk mengambil surat. Barulah dia pergi mengantarkan surat dengan menelusuri setiap jalan pada daerahnya dan akhirnya ia harus kembali ke kantor pos untuk memgembalikan semua suarat yang tidak terkirim. Untuk menghemat energi Tukang pos ingin menelusuri daerahnya dengan dengan sesedikit mungkin jarak yang ditempuh.<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 74.25pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" lang="IN" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >Pada intinya masalah tukang pos adalah bagaimana menelusuri semua jalan yang ada pada rutenya dan kembali ke asal dengan jarak tempuh yang paling sedikit. Pada kenyataannya tidak hanya tukang pos saja yang menghadapi masalah ini, banyak profesi lain yang menghadapi masalah serupa seperti polisi ingin menempuh jalur yang paling efisien dalam berpatroli, tukang jualan bakso ingin melewati setiap rumah dengan efisien , petani ingin menngetahui jalur terbaik dalam menebarkan benih, dan lain-lain. Masalah ini muncul pada sebuah jurnal di cina yang di sebut sebagai “<i>postman</i> <i>problem</i>” dan sering kali disebut “<i>Chinese postman</i><o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 74.25pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" lang="IN" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="font-size:100%;"><i><span style="line-height: 150%;font-family:";" lang="IN">problem</span></i></span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >”.<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 74.25pt; text-indent: -0.25in;"><!--[if !supportLists]--><span style=";font-family:Symbol;font-size:100%;" lang="IN" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" >Postman problem dapat digambarkan sebagai graf, dimana tiap sisi adalah jalan dan tiap simpul adalah persimpangan dari jalan-jalan. Postman problem adalah permasalahan (problem) untuk menemukan jalur terpendek untuk melalui tiap sisi graf setidaknya sekali dan kembali lagi ke simpul awal. </span><span style="line-height: 115%;font-family:";font-size:100%;" >Berikut ini adalah gambar permodelan dari problem</span><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" > Chinese Postman Problem.</span><span lang="IN" style="font-size:100%;"><o:p></o:p></span></p> <p class="MsoListParagraphCxSpLast"><!--[if gte vml 1]><v:shape id="Picture_x0020_8" spid="_x0000_s1028" type="#_x0000_t75" style="'position:absolute;left:0;"> <v:imagedata src="file:///C:\Users\Haris\AppData\Local\Temp\msohtmlclip1\01\clip_image005.png" title=""> </v:shape><![endif]--><!--[if !vml]--><span style="font-size:100%;"><a href="http://tinypic.com/" target="_blank"><img src="http://i48.tinypic.com/2wlzt05.jpg" alt="Image and video hosting by TinyPic" border="0" /></a>
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type="#_x0000_t75" style="'position:absolute;margin-left:167.25pt;margin-top:382.25pt;width:217.5pt;"> <v:imagedata src="file:///C:\Users\Haris\AppData\Local\Temp\msohtmlclip1\01\clip_image001.png" title=""> </v:shape><![endif]--><!--[if !vml]--><span style=""></span><!--[endif]--></p><p class="MsoNormal" style="margin: 0in 0in 0.0001pt 28.35pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" >Untuk menyelesaikan </span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >Chinese Postman Problem yang ada di gambar atas</span><span style="line-height: 150%;font-family:";font-size:100%;" > menggunakan</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" > Algoritma</span><span style="line-height: 150%;font-family:";font-size:100%;" > Fleury maka kita </span><span style="line-height: 150%;font-family:";font-size:100%;" >harus membentuk Eulerian Pathnya dahulu.</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >:<o:p></o:p></span></p> <p class="MsoListParagraphCxSpFirst" style="margin: 0in 0in 0.0001pt 67.65pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Graf berikut tidak memiliki sirkuit Euler, karena ada dua simpul berderajat ganjil (U dan V). </span><span style="line-height: 150%;font-family:";font-size:100%;" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Kita perlu mencari jalur terpendek antara </span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >U</span><span style="line-height: 150%;font-family:";font-size:100%;" > dan </span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >V</span><span style="line-height: 150%;font-family:";font-size:100%;" >, beberapa jalur yang ada antara</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >lain:</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >U>X>V : 7</span><span style="line-height: 150%;font-family:";font-size:100%;" ><o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 67.65pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Graf berikut tidak memiliki sirkuit Euler, karena ada dua simpul berderajat ganjil (U dan V). </span><span style="line-height: 150%;font-family:";font-size:100%;" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Kita perlu mencari jalur terpendek antara </span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >U</span><span style="line-height: 150%;font-family:";font-size:100%;" > dan </span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >V</span><span style="line-height: 150%;font-family:";font-size:100%;" >, beberapa jalur yang ada antara</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >lain:</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >U>X>V : 7</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >, </span><span style="line-height: 150%;font-family:";font-size:100%;" >U>Y>X>Z>V : 12</span><span style="line-height: 150%;font-family:";font-size:100%;" ><o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 67.65pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Graf berikut tidak memiliki sirkuit Euler, karena ada dua simpul berderajat ganjil (U dan V). </span><span style="line-height: 150%;font-family:";font-size:100%;" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Kita perlu mencari jalur terpendek antara </span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >U</span><span style="line-height: 150%;font-family:";font-size:100%;" > dan </span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >V</span><span style="line-height: 150%;font-family:";font-size:100%;" >, beberapa jalur yang ada antara</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >lain:</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >U>X>V : 7</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >, </span><span style="line-height: 150%;font-family:";font-size:100%;" >U>Y>X>Z>V : 12</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >, </span><span style="line-height: 150%;font-family:";font-size:100%;" >U>Y>Z>V : 9 <o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 67.65pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Graf berikut tidak memiliki sirkuit Euler, karena ada dua simpul berderajat ganjil (U dan V).</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >Kita perlu mencari jalur terpendek antara </span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >U</span><span style="line-height: 150%;font-family:";font-size:100%;" > dan </span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >V</span><span style="line-height: 150%;font-family:";font-size:100%;" >, beberapa jalur yang ada antara</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >lain:</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >U>X>V : 7</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >, </span><span style="line-height: 150%;font-family:";font-size:100%;" >U>Y>X>Z>V : 12</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >, </span><span style="line-height: 150%;font-family:";font-size:100%;" >U>Y>Z>V : 9</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >, </span><span style="line-height: 150%;font-family:";font-size:100%;" >U>Y>W>Z>V : 10<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 67.65pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Graf berikut tidak memiliki sirkuit Euler, karena ada dua simpul berderajat ganjil (U dan V). </span><span style="line-height: 150%;font-family:";font-size:100%;" ><span style=""> </span></span><span style="line-height: 150%;font-family:";font-size:100%;" >Kita perlu mencari jalur terpendek antara </span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >U</span><span style="line-height: 150%;font-family:";font-size:100%;" > dan </span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >V</span><span style="line-height: 150%;font-family:";font-size:100%;" >, beberapa jalur yang ada antara</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >lain:</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >U>X>V : 7</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >, </span><span style="line-height: 150%;font-family:";font-size:100%;" >U>Y>X>Z>V : 12</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >, </span><span style="line-height: 150%;font-family:";font-size:100%;" >U>Y>Z>V : 9</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >, </span><span style="line-height: 150%;font-family:";font-size:100%;" >U>Y>W>Z>V : 10</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >, </span><span style="line-height: 150%;font-family:";font-size:100%;" >U>W>V : 7 </span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >dan </span><span style="line-height: 150%;font-family:";font-size:100%;" >U>X>Y>W>V : 6 <o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 67.65pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Dan seterusnya, yang terpendek adalah </span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >6</span><span style="line-height: 150%;font-family:";font-size:100%;" > (</span><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >U>X>Y>W>V</span><span style="line-height: 150%;font-family:";font-size:100%;" >),</span><span style="line-height: 150%;font-family:";font-size:100%;" > </span><span style="line-height: 150%;font-family:";font-size:100%;" >Jalur terpendek di-gandakan agar menjadi graph genap.<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0.0001pt 67.65pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >Setelah di jalankan hasil reduce nya adalah seperti di gambar dan U>X>Y>W>V tetap ada garis nya karena tadi telah di gandakan yang dikarenakan U dan V berderajat ganjil serta mencari jarak terpendek untuk kembali titik awal</span><span style="line-height: 150%;font-family:";font-size:100%;" ><o:p></o:p></span></p> <p class="MsoListParagraphCxSpLast" style="margin: 0in 0in 0.0001pt 67.65pt; text-align: justify; text-indent: -0.25in; line-height: 150%;"><!--[if !supportLists]--><span style="line-height: 150%;font-family:Symbol;font-size:100%;" lang="IN" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >Jadi ada dua jalur yang akan dilewati dan untuk kembali ke titik awal yaitu <o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 70.9pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span>Pertama<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 70.9pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span>U>Y>X>Z>W>Y>Z>V>W>Y>X>U<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 70.9pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span>Kedua<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 70.9pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span>U>Y>W>Z>X>Y>Z>V>W>Y>X>U<o:p></o:p></span></p> <p class="MsoListParagraph" style="margin: 0in 0in 0.0001pt 70.9pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span>Panjang optimum adalah 37<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" >c.<span style=""> </span>Coloring Graph<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" >Coloring adalah pewarnaan suatu graf. Ada dua macam cara mewarnai suatu graf yaitu <i style="">coloring vertex </i>(pewarnaan titik) dan <i style="">coloring edge </i>(pewarnaan garis). Coloring vertex adalah cara pemberian warna untuk setiap titik pada suatu graf sedemikian rupa sehingga setiap titik yang <i style="">adjacent</i> ( dihubungkan oleh garis/edge yang sama) diwarnai dengan warna yang berbeda. Sedangkan <i style="">coloring edge</i> adalah cara pemberian warna pada garis sedemikian rupa sehingga setiap garis yang bertumpuan pada titik yang sama diberi warna yang berbeda. cara pemberian warna tidak memiliki aturan tertentu, hanya harus seminimal mungkin.<span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" >Untuk pembuatan jadwal ini akan digunakan coloring vertex. Dari suatu jadwal yang diinputkan, mula-mula akan dipetakan menjadi suatu graf terlebih dahulu. Proses coloring dilakukan pada graf yang terbentuk. Pemetaan dilakukan dengan mengasumsikan bahwa setiap jadwal adalah sebuah vertex dan urutan jadwal atau dua jadwal yang tidak bisa diadakan bersamaan dipetakan dengan membuat edge antara dua titik tersebut. Untuk kapasitas ruang yang ada akan dimodelkan dengan batasan jumlah warna sama yang bisa digunakan untuk mewarnai vertex.
<br /></span></p><p class="MsoNormal" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; line-height: 150%;"><a href="http://tinypic.com" target="_blank"><img src="http://i45.tinypic.com/sff8ex.jpg" border="0" alt="Image and video hosting by TinyPic" /></a>
<br /><span style="line-height: 150%;font-family:";font-size:100%;" ><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; line-height: 150%;"><!--[if gte vml 1]><v:shape id="Picture_x0020_3" spid="_x0000_s1029" type="#_x0000_t75" style="'position:absolute;" stroked="t"> <v:imagedata src="file:///C:\Users\Haris\AppData\Local\Temp\msohtmlclip1\01\clip_image007.png" title=""> <w:wrap type="square"> </v:shape><![endif]--><!--[if !vml]--><!--[endif]--><span style="line-height: 150%;font-family:";font-size:100%;" >Setelah selesai melakukan proses coloring, setiap vertex pada graf hasil akan memiliki warna yang berbeda-beda. Dari warna-warna tersebut akan diketahui bahwa titik dengan warna yang sama bisa dijadwalkan bersamaan sedangkan untuk titik dengan warna yang berlainan, harus dijadwalkan berbeda. Jumlah yang digunakan menunjukkan banyaknya jadwal yang harus dibuat untuk bisa melakukan penjadwalan. <o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 21.3pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" >Intinya adalah bahwa antara dua buah vertex yang dihubungkan dengan sebuah edge, warnanya harus berbeda agar jadwal tidak bertabrakan.<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: 150%;"><span style="line-height: 150%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style=""><span style="font-size:100%;"><b style=""><span style="line-height: 115%;font-family:";" lang="IN">7. <span style=""> </span>Implementasi Graph dalam bahasa C<o:p></o:p></span></b></span></p> <p class="MsoNormal" style=""><span style="font-size:100%;"><b style=""><span style="line-height: 115%;font-family:";" lang="IN"><span style=""> </span>a. Contoh Implementasi Graph untuk membangun jaringan kereta api yang efisien<o:p></o:p></span></b></span></p> <p class="MsoNormal" style=""><!--[if gte vml 1]><v:shape id="Picture_x0020_2" spid="_x0000_s1030" type="#_x0000_t75" style="'position:absolute;"> <v:imagedata src="file:///C:\Users\Haris\AppData\Local\Temp\msohtmlclip1\01\clip_image009.png" title="" croptop="9790f" cropbottom="2311f" cropleft="2104f" cropright="2209f"> </v:shape><![endif]--><!--[if !vml]--><span style="position: absolute; z-index: -1; margin-left: 48px; margin-top: 0px; width: 284px; height: 192px;font-size:100%;" ><img src="file:///C:/Users/Haris/AppData/Local/Temp/msohtmlclip1/01/clip_image010.jpg" shapes="Picture_x0020_2" width="284" height="192" /></span><!--[endif]--><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style=""><span style="font-size:100%;"><b style=""><span style="line-height: 115%;font-family:";" lang="IN"><span style=""> </span><o:p></o:p></span></b></span></p> <p class="MsoNormal"><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal"><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal"><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal"><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin-left: 28.35pt; text-align: justify; text-indent: 35.45pt;"><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" >Untuk membangun jaringan kereta api yang efisien ini dapat kita implementasi ke dalam bahasa C dengan menggunakan algoritma prims. Algoritma nya sebagai berikut:<o:p></o:p></span></p> <p class="MsoListParagraphCxSpFirst" style="margin-left: 56.7pt; text-align: justify; text-indent: -0.25in;"><!--[if !supportLists]--><span style="line-height: 115%;font-family:Symbol;font-size:100%;" lang="IN" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" >Awal nya tentukan berapa kota yang ingin untuk membangun jaringan kereta api agar ditiap kota terdapat jalur kereta api tersebut.<o:p></o:p></span></p> <p class="MsoListParagraphCxSpMiddle" style="margin-left: 56.7pt; text-align: justify; text-indent: -0.25in;"><!--[if !supportLists]--><span style="line-height: 115%;font-family:Symbol;font-size:100%;" lang="IN" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" >Setelah itu hitung jarak terpendek dari satu kota ke kota berikutnya dengan menggunakan rumus jarak=((X<sub>1</sub>-X<sub>2</sub>)<sup>2</sup>+(Y<sub>1</sub>-Y<sub>2</sub>)<sup>2</sup>)<o:p></o:p></span></p> <p class="MsoListParagraphCxSpLast" style="margin-left: 56.7pt; text-align: justify; text-indent: -0.25in;"><!--[if !supportLists]--><span style="line-height: 115%;font-family:Symbol;font-size:100%;" lang="IN" ><span style="">·<span style="font: 7pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" >Setelah menghitung maka dapat kita tentukan jarak-jarak yang terpendek dan dapat kita hubungan dengan catatan semua kota harus terhubung dan memiliki jalur kereta api tersebut.<o:p></o:p></span></p> <p class="MsoNormal" style="text-align: justify; text-indent: 0.5in;"><span style="font-size:100%;"><b style=""><span style="line-height: 115%;font-family:";" lang="IN"><o:p> </o:p></span></b></span></p> <p class="MsoNormal" style="text-align: justify; text-indent: 0.5in;"><span style="font-size:100%;"><b style=""><span style="line-height: 115%;font-family:";" lang="IN"><o:p> </o:p></span></b></span></p> <p class="MsoNormal" style="text-align: justify; text-indent: 0.5in;"><span style="font-size:100%;"><b style=""><span style="line-height: 115%;font-family:";" lang="IN"><o:p> </o:p></span></b></span></p> <p class="MsoNormal" style="text-align: justify; text-indent: 0.5in;"><span style="font-size:100%;"><b style=""><span style="line-height: 115%;font-family:";" lang="IN">Source Code<o:p></o:p></span></b></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >typedef struct vertex<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>bool flag;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>char nama[1000];<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>float x;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>float y;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>struct vertex *next;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>struct edge *list;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >};<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >typedef struct vertex *pvertex;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >typedef struct edge<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>bool flag;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>bool flag2;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>float length;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>struct edge *next;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>struct vertex *link;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >};<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >typedef struct edge *pedge;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >pvertex make_vertex(char nama[],float x,float y)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>pvertex p;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p = (pvertex) malloc(sizeof(struct vertex));<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p->next = NULL;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p->list = NULL;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p->flag = 0;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p->x = x;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p->y = y;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>strcpy(p->nama,nama);<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>return p;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >pedge meke_edge(float length)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>pedge p;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p = (pedge) malloc(sizeof(struct edge));<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p->next = NULL;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p->link = NULL;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p->flag = 0;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p->flag2 = 0;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p->length=length;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>return p;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >void insert_vertex(pvertex *graph,float x,float y,pvertex *temp,char nama[])<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>pvertex news;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>news = make_vertex(nama,x,y);<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>if(*graph==NULL)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>*graph = news;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>*temp = *graph;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>else<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>(*temp)->next = news;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>(*temp) = (*temp)->next;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >void insert_edge(pvertex *temp,pvertex *temp2,pedge *edge,float length)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>pedge news2;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>news2 = meke_edge(length);<span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>news2->link = *temp2;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>if((*temp)->list==NULL)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>(*temp)->list = news2;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>*edge = news2;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>else<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span>(*edge)->next = news2;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>(*edge) = (*edge)->next;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >void cek(pvertex graph,int jumlah,char nama[])<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>pvertex temp,temp2;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>pedge edge;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>float length;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>temp<span style=""> </span>= graph;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>for(int i = 0; i<jumlah;></jumlah;></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>strcpy(nama, temp->nama);<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>temp2 = graph;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>for(int j = 0; j<jumlah;></jumlah;></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>length = ((temp->x - temp2->x)*(temp->x - temp2->x)+(temp->y - temp2->y)*(temp->y - temp2->y));<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>length = sqrt(length);<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>if(strcmp(temp2->nama,nama)!= 0)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span>insert_edge(&temp,&temp2,&edge,length);<span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>temp2 = temp2->next;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>temp = temp->next;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >void proses(pvertex graph,int jumlah)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>pvertex temp,temp_vertex,con_vex;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>pedge edge,minedge;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>float min;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>graph->flag = 1;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>for (int i = 1;i <></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>min = 999;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>for(temp = graph; temp != NULL; temp = temp->next)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>if(temp->flag == 1)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>for(edge=temp->list; edge != NULL; edge = edge->next)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>if(edge->length <></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>if(edge->flag==0)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span><span style=""> </span>if(edge->link->flag==0)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span><span style=""> </span><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span>minedge = edge;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span>min = edge->length;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span>con_vex = edge->link;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span>temp_vertex = temp;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>minedge->flag = 1;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>con_vex->flag = 1;<span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>for(edge = con_vex->list; edge->link != temp_vertex; edge = edge->next)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>edge->flag = 1;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >void view(pvertex graph)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>pvertex temp;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>pedge edge,news2;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>float total;<span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>total = 0;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>printf("\n");<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>for(temp = graph; temp != NULL; temp = temp->next)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span>for(edge = temp->list; edge != NULL; edge = edge->next)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span><span style=""> </span>if(edge->flag == 1)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>if(edge->flag2 == 0)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span>edge->flag2 = 1;<span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span>for(news2 = edge->link->list; news2->link != temp; news2 = news2->next)<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span>news2->flag2 = 1;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span>total +=edge->length;<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span>printf("%s ke %s Panjangnya: <span style=""> </span>%.3f\n",temp->nama,edge->link->nama,edge->length);<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span>}<span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span>}<span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>printf("\nTotal Jaraknya adalah : %.3f\n",total);<o:p></o:p></span></p> <p class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: justify; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >}<o:p></o:p></span></p> <p class="Default" style="margin-left: 27pt; text-align: justify;"><span style="font-size:100%;">
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style="line-height: 115%;font-family:";" lang="IN">b.</span></b><b style=""><span style="line-height: 115%;font-family:";" lang="IN"> <span style=""> </span>Contoh Implementasi Graph untuk mencari rute terpendek yang dapat mengunjungi semua kota<o:p></o:p></span></b></span></p> <p class="MsoNormal" style="margin-left: 14.2pt; text-indent: -14.2pt;"><span style="font-size:100%;"><b style=""><span style="line-height: 115%;font-family:";" lang="IN"><o:p> </o:p></span></b></span></p> <p class="MsoNormal"><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal"><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal"><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal"><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal"><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal"><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt;"><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt;"><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span>Jadi untuk mencari rute terpendek yang dapat mengunjungi semua kota seperti gambar diatas dapat kita menggunakan algoritma TSP.<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt;"><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" ><span style=""> </span></span><span style="line-height: 115%;font-family:";font-size:100%;" lang="IN" ><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt;"><span style="font-size:100%;"><b style=""><span style="line-height: 115%;font-family:";" lang="IN"><o:p> </o:p></span></b></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt;"><span style="font-size:100%;"><b style=""><span style="line-height: 115%;font-family:";" lang="IN">Source Code<o:p></o:p></span></b></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >typedef struct vertex<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" 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><span style=""> </span>char titik2[100];<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>edge * next;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >};<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >typedef struct edge * garis;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >garis awalga = NULL, akhirga= NULL;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >pvertex makeptree (float x, float y, char nama[])<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >{<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>pvertex baru;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>baru=(pvertex)malloc(sizeof(struct vertex));<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>baru->x=x;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>baru->y=y;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>baru->status=0;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>baru->next=NULL;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>baru->connector=NULL;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>strcpy(baru->nama,nama);<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >}<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >void makevertex (pvertex *vertex,float x,float y,char nama[])<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >{<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>pvertex p , q ;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p = makeptree(x,y,nama);<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>q = *vertex;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>if(q == NULL)<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>*vertex = p ;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>else<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>for(;q->next;q=q->next)<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>q->next = p;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >}<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >void makeedge(garis * awalga, garis * akhirga, char titik1[], char titik2[], float jarak)<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >{<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>garis baru;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>baru=(garis)malloc(sizeof(edge));<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>baru->jarak=jarak;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>strcpy(baru->titik1,titik1);<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>strcpy(baru->titik2, titik2);<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>if(*awalga==NULL)<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>*awalga=baru;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>*akhirga=baru;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>else<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>(*akhirga)->next=baru;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>(*akhirga)=baru;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >}<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >void cek(pvertex vertex, int jumlah)<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >{<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>pvertex awal,p,q;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>float jarak;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>float min ;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>float temp;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>awal = vertex;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p = awal;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>for(int i=0;i<jumlah-1;i++)><o:p></o:p></jumlah-1;i++)></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>min = 999;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p->status =1;<span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>for(q=awal->next;q!=NULL;q=q->next)<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>if(q->status!=1)<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>jarak=(((p->x)-(q->x))*((p->x)-(q->x)))+(((p->y)-(q->y))*((p->y)-(q->y)));<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><span style=""> </span>jarak=sqrt(jarak); <o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>if (min>jarak)<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>min = jarak;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p->jarak = min;<span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p->connector = q;<span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>} <o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>makeedge(&awalga,&akhirga,p->nama,q->nama,p->jarak); <span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p = p->connector;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>temp=(((p->x)-(awal->x))*((p->x)-(awal->x)))+(((p->y)-(awal->y))*((p->y)-(awal->y)));<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p->jarak = sqrt(temp);<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p->connector = awal;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >}<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >void displayedge(pvertex vertex,int jumlah)<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >{<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>pvertex list = vertex;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>float tot;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>tot += vertex->jarak;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>printf("\n\t%s ke %s panjangnya : %.2f\n", list->nama,list->connector->nama,list->jarak);<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>list = list->connector;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>for(int a=0; a<jumlah-1;></jumlah-1;></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>printf("\n\t%s ke %s panjangnya : %.2f\n", list->nama,list->connector->nama,list->jarak);<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>tot += list->jarak;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>list = list->connector;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>printf("\n");<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >}<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><o:p> </o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >void view(pvertex vertex)<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >{<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>pvertex p;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>float total=0 ;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>p = vertex;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>printf("\nYang akan dilewati adalah>> ");<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>printf("%2s ", p->nama);<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>total=total+vertex->jarak;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>for(p=p->connector;strcmp(p->nama,vertex->nama);p = p->connector)<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>{<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>printf("%2s ", p->nama);<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>total=total+p->jarak;<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>}<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>printf("%2s ",p->nama);<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span>printf("\nTotal jarak nya>> %.2f",total);<o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" ><span style=""> </span><o:p></o:p></span></p> <p class="MsoNormal" style="margin: 0in 0in 0.0001pt 14.2pt; text-align: justify; text-indent: -14.2pt; line-height: normal;"><span style=";font-family:";font-size:100%;" lang="IN" >}<o:p></o:p></span></p> <p></p> t4urus_boy08http://www.blogger.com/profile/03016736098161805827noreply@blogger.com7