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vertexcovering.html
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<?xml version="1.0" encoding="utf-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head>
<!-- 2021-08-20 Fri 09:22 -->
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<title>Vertex Cover Benchmark Instances</title>
<meta name="generator" content="Org mode" />
<meta name="author" content="ThanhVu (Vu) Nguyen" />
<link rel="stylesheet" href="https://nguyenthanhvuh.github.io/files/org.css">
<link rel="alternative stylesheet" href="https://nguyenthanhvuh.github.io/files/org-orig.css">
</head>
<body>
<div id="content">
<h1 class="title">Vertex Cover Benchmark Instances</h1>
<div id="table-of-contents">
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#orgaae7467">1. Utils</a></li>
<li><a href="#org4bee076">2. Vertex Cover instances</a></li>
<li><a href="#org378bd16">3. Clique complement graphs</a></li>
<li><a href="#org68ad96c">4. Random Graphs</a></li>
<li><a href="#org9c258bb">5. Other Instances</a></li>
</ul>
</div>
</div>
<div id="outline-container-orgaae7467" class="outline-2">
<h2 id="orgaae7467"><span class="section-number-2">1</span> Utils</h2>
<div class="outline-text-2" id="text-1">
<ul class="org-ul">
<li><a href="https://github.com/unsat/npbench/blob/master/instances/converter">Converter</a>: convert from benchmarks from <code>ascii</code> to <code>binary</code> format and vice versa.</li>
</ul>
</div>
</div>
<div id="outline-container-org4bee076" class="outline-2">
<h2 id="org4bee076"><span class="section-number-2">2</span> Vertex Cover instances</h2>
<div class="outline-text-2" id="text-2">
<p>
<a href="https://github.com/unsat/npbench/blob/master/instances/vertex_cover/benchmarks/">Directory</a>
</p>
<p>
From Ke Xu's website
<a href="http://www.nlsde.buaa.edu.cn/~kexu/benchmarks/graph-benchmarks.htm">http://www.nlsde.buaa.edu.cn/~kexu/benchmarks/graph-benchmarks.htm</a>
</p>
<table id="org5846cc5" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<colgroup>
<col class="org-right" />
<col class="org-left" />
<col class="org-right" />
<col class="org-right" />
<col class="org-right" />
</colgroup>
<thead>
<tr>
<th scope="col" class="org-right"> </th>
<th scope="col" class="org-left">File</th>
<th scope="col" class="org-right">Vertices</th>
<th scope="col" class="org-right">Max IS<sup><a id="fnr.1" class="footref" href="#fn.1">1</a></sup></th>
<th scope="col" class="org-right">Min VC</th>
</tr>
</thead>
<tbody>
<tr>
<td class="org-right">1</td>
<td class="org-left"><a href="https://github.com/unsat/npbench/blob/master/instances/vertex_cover/benchmarks/frb30-15-mis">frb30-15-mis (5 instances)</a></td>
<td class="org-right">450</td>
<td class="org-right">30</td>
<td class="org-right">420</td>
</tr>
<tr>
<td class="org-right">2</td>
<td class="org-left"><a href="https://github.com/unsat/npbench/blob/master/instances/vertex_cover/benchmarks/frb35-17-mis">frb35-17-mis (5 instances)</a></td>
<td class="org-right">595</td>
<td class="org-right">35</td>
<td class="org-right">560</td>
</tr>
<tr>
<td class="org-right">3</td>
<td class="org-left"><a href="https://github.com/unsat/npbench/blob/master/instances/vertex_cover/benchmarks/frb40-19-mis">frb40-19-mis (5 instances)</a></td>
<td class="org-right">760</td>
<td class="org-right">40</td>
<td class="org-right">720</td>
</tr>
<tr>
<td class="org-right">4</td>
<td class="org-left"><a href="https://github.com/unsat/npbench/blob/master/instances/vertex_cover/benchmarks/frb45-21-mis">frb45-21-mis (5 instances)</a></td>
<td class="org-right">945</td>
<td class="org-right">45</td>
<td class="org-right">900</td>
</tr>
<tr>
<td class="org-right">5</td>
<td class="org-left"><a href="https://github.com/unsat/npbench/blob/master/instances/vertex_cover/benchmarks/frb50-23-mis">frb50-23-mis (5 instances)</a></td>
<td class="org-right">1150</td>
<td class="org-right">50</td>
<td class="org-right">1100</td>
</tr>
<tr>
<td class="org-right">6</td>
<td class="org-left"><a href="https://github.com/unsat/npbench/blob/master/instances/vertex_cover/benchmarks/frb53-24-mis">frb53-24-mis (5 instances)</a></td>
<td class="org-right">1272</td>
<td class="org-right">53</td>
<td class="org-right">1219</td>
</tr>
<tr>
<td class="org-right">7</td>
<td class="org-left"><a href="https://github.com/unsat/npbench/blob/master/instances/vertex_cover/benchmarks/frb56-25-mis">frb56-25-mis (5 instances)</a></td>
<td class="org-right">1400</td>
<td class="org-right">56</td>
<td class="org-right">1344</td>
</tr>
<tr>
<td class="org-right">8</td>
<td class="org-left"><a href="https://github.com/unsat/npbench/blob/master/instances/vertex_cover/benchmarks/frb59-26-mis">frb59-26-mis (5 instances)</a></td>
<td class="org-right">1534</td>
<td class="org-right">59</td>
<td class="org-right">1475</td>
</tr>
</tbody>
</table>
</div>
</div>
<div id="outline-container-org378bd16" class="outline-2">
<h2 id="org378bd16"><span class="section-number-2">3</span> Clique complement graphs</h2>
<div class="outline-text-2" id="text-3">
<p>
<a href="https://github.com/unsat/npbench/blob/master/instances/vertex_cover/clique_complement/">Directory</a>
</p>
<p>
From Muthubharathi Periannan's MS thesis at Penn State Harrisburg.
</p>
<ul class="org-ul">
<li><a href="https://github.com/unsat/npbench/blob/master/instances/vertex_cover/clique_complement/fileconverter.cpp">Clique to Vertex Cover</a> converter: converts graph instances for Max Clique into complement graphs, usable for Min Vertex Covering. The size of the minimum vertex cover is the difference between the total number of vertices and the size of the max clique.</li>
</ul>
</div>
</div>
<div id="outline-container-org68ad96c" class="outline-2">
<h2 id="org68ad96c"><span class="section-number-2">4</span> Random Graphs</h2>
<div class="outline-text-2" id="text-4">
<p>
<a href="https://github.com/unsat/npbench/blob/master/instances/vertex_cover/random_graphs/">Directory</a>
</p>
<p>
From Muthubharathi Periannan's MS thesis at Penn State Harrisburg.
</p>
<table id="orgda2c6c3" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<colgroup>
<col class="org-right" />
<col class="org-left" />
<col class="org-right" />
</colgroup>
<thead>
<tr>
<th scope="col" class="org-right"> </th>
<th scope="col" class="org-left">File</th>
<th scope="col" class="org-right">Vertices</th>
</tr>
</thead>
<tbody>
<tr>
<td class="org-right">1</td>
<td class="org-left">random graphs with 50 vertices - 10 instances</td>
<td class="org-right">50</td>
</tr>
<tr>
<td class="org-right">2</td>
<td class="org-left">random graphs with 100 vertices - 10 instances</td>
<td class="org-right">100</td>
</tr>
<tr>
<td class="org-right">3</td>
<td class="org-left">random graphs with 200 vertices - 5 instances</td>
<td class="org-right">200</td>
</tr>
<tr>
<td class="org-right">4</td>
<td class="org-left">random graphs with 250 vertices - 5 instances</td>
<td class="org-right">250</td>
</tr>
<tr>
<td class="org-right">5</td>
<td class="org-left">random graphs with 500 vertices - 5 instances</td>
<td class="org-right">500</td>
</tr>
</tbody>
</table>
</div>
</div>
<div id="outline-container-org9c258bb" class="outline-2">
<h2 id="org9c258bb"><span class="section-number-2">5</span> Other Instances</h2>
<div class="outline-text-2" id="text-5">
<dl class="org-dl">
<dt>BHOSLIB</dt><dd>Benchmarks with Hidden Optimum Solutions for Graph Problems (Maximum Clique, Maximum Independent Set, Minimum Vertex Cover and Vertex Coloring): <a href="http://www.nlsde.buaa.edu.cn/~kexu/benchmarks/graph-benchmarks.htm">http://www.nlsde.buaa.edu.cn/~kexu/benchmarks/graph-benchmarks.htm</a> (link no longer exists)</dd>
</dl>
<hr />
<p>
<a href="./index.html">Back to benchmark instances page</a>
</p>
</div>
</div>
<div id="footnotes">
<h2 class="footnotes">Footnotes: </h2>
<div id="text-footnotes">
<div class="footdef"><sup><a id="fn.1" class="footnum" href="#fnr.1">1</a></sup> <div class="footpara"><p class="footpara">
IS: indepdent set
</p></div></div>
</div>
</div></div>
</body>
</html>