<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> <title>chordal_graph_treewidth — NetworkX 1.8.1 documentation</title> <link rel="stylesheet" href="../../_static/networkx.css" type="text/css" /> <link rel="stylesheet" href="../../_static/pygments.css" type="text/css" /> <script type="text/javascript"> var DOCUMENTATION_OPTIONS = { URL_ROOT: '../../', VERSION: '1.8.1', COLLAPSE_INDEX: false, FILE_SUFFIX: '.html', HAS_SOURCE: false }; </script> <script type="text/javascript" src="../../_static/jquery.js"></script> <script type="text/javascript" src="../../_static/underscore.js"></script> <script type="text/javascript" src="../../_static/doctools.js"></script> <link rel="search" type="application/opensearchdescription+xml" title="Search within NetworkX 1.8.1 documentation" href="../../_static/opensearch.xml"/> <link rel="top" title="NetworkX 1.8.1 documentation" href="../../index.html" /> <link rel="up" title="Chordal" href="../algorithms.chordal.html" /> <link rel="next" title="find_induced_nodes" href="networkx.algorithms.chordal.chordal_alg.find_induced_nodes.html" /> <link rel="prev" title="chordal_graph_cliques" href="networkx.algorithms.chordal.chordal_alg.chordal_graph_cliques.html" /> </head> <body> <div style="color: black;background-color: white; font-size: 3.2em; text-align: left; padding: 15px 10px 10px 15px"> NetworkX </div> <div class="related"> <h3>Navigation</h3> <ul> <li class="right" style="margin-right: 10px"> <a href="../../genindex.html" title="General Index" accesskey="I">index</a></li> <li class="right" > <a href="../../py-modindex.html" title="Python Module Index" >modules</a> |</li> <li class="right" > <a href="networkx.algorithms.chordal.chordal_alg.find_induced_nodes.html" title="find_induced_nodes" accesskey="N">next</a> |</li> <li class="right" > <a href="networkx.algorithms.chordal.chordal_alg.chordal_graph_cliques.html" title="chordal_graph_cliques" accesskey="P">previous</a> |</li> <li><a href="http://networkx.github.com/">NetworkX Home </a> | </li> <li><a href="http://networkx.github.com/documentation.html">Documentation </a>| </li> <li><a href="http://networkx.github.com/download.html">Download </a> | </li> <li><a href="http://github.com/networkx">Developer (Github)</a></li> <li><a href="../index.html" >Reference</a> »</li> <li><a href="../pdf_reference.html" >Reference</a> »</li> <li><a href="../algorithms.html" >Algorithms</a> »</li> <li><a href="../algorithms.chordal.html" accesskey="U">Chordal</a> »</li> </ul> </div> <div class="sphinxsidebar"> <div class="sphinxsidebarwrapper"> <h4>Previous topic</h4> <p class="topless"><a href="networkx.algorithms.chordal.chordal_alg.chordal_graph_cliques.html" title="previous chapter">chordal_graph_cliques</a></p> <h4>Next topic</h4> <p class="topless"><a href="networkx.algorithms.chordal.chordal_alg.find_induced_nodes.html" title="next chapter">find_induced_nodes</a></p> <div id="searchbox" style="display: none"> <h3>Quick search</h3> <form class="search" action="../../search.html" method="get"> <input type="text" name="q" /> <input type="submit" value="Go" /> <input type="hidden" name="check_keywords" value="yes" /> <input type="hidden" name="area" value="default" /> </form> <p class="searchtip" style="font-size: 90%"> Enter search terms or a module, class or function name. </p> </div> <script type="text/javascript">$('#searchbox').show(0);</script> </div> </div> <div class="document"> <div class="documentwrapper"> <div class="bodywrapper"> <div class="body"> <div class="section" id="chordal-graph-treewidth"> <h1>chordal_graph_treewidth<a class="headerlink" href="#chordal-graph-treewidth" title="Permalink to this headline">¶</a></h1> <dl class="function"> <dt id="networkx.algorithms.chordal.chordal_alg.chordal_graph_treewidth"> <tt class="descname">chordal_graph_treewidth</tt><big>(</big><em>G</em><big>)</big><a class="reference internal" href="../../_modules/networkx/algorithms/chordal/chordal_alg.html#chordal_graph_treewidth"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#networkx.algorithms.chordal.chordal_alg.chordal_graph_treewidth" title="Permalink to this definition">¶</a></dt> <dd><p>Returns the treewidth of the chordal graph G.</p> <table class="docutils field-list" frame="void" rules="none"> <col class="field-name" /> <col class="field-body" /> <tbody valign="top"> <tr class="field-odd field"><th class="field-name">Parameters :</th><td class="field-body"><p class="first"><strong>G</strong> : graph</p> <blockquote> <div><p>A NetworkX graph</p> </div></blockquote> </td> </tr> <tr class="field-even field"><th class="field-name">Returns :</th><td class="field-body"><p class="first"><strong>treewidth</strong> : int</p> <blockquote> <div><p>The size of the largest clique in the graph minus one.</p> </div></blockquote> </td> </tr> <tr class="field-odd field"><th class="field-name">Raises :</th><td class="field-body"><p class="first"><strong>NetworkXError</strong> :</p> <blockquote class="last"> <div><p>The algorithm does not support DiGraph, MultiGraph and MultiDiGraph. If the input graph is an instance of one of these classes, a NetworkXError is raised. The algorithm can only be applied to chordal graphs. If the input graph is found to be non-chordal, a NetworkXError is raised.</p> </div></blockquote> </td> </tr> </tbody> </table> <p class="rubric">References</p> <table class="docutils citation" frame="void" id="r177" rules="none"> <colgroup><col class="label" /><col /></colgroup> <tbody valign="top"> <tr><td class="label"><a class="fn-backref" href="#id1">[R177]</a></td><td><a class="reference external" href="http://en.wikipedia.org/wiki/Tree_decomposition#Treewidth">http://en.wikipedia.org/wiki/Tree_decomposition#Treewidth</a></td></tr> </tbody> </table> <p class="rubric">Examples</p> <div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="kn">import</span> <span class="nn">networkx</span> <span class="kn">as</span> <span class="nn">nx</span> <span class="gp">>>> </span><span class="n">e</span> <span class="o">=</span> <span class="p">[(</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">),(</span><span class="mi">1</span><span class="p">,</span><span class="mi">3</span><span class="p">),(</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">),(</span><span class="mi">2</span><span class="p">,</span><span class="mi">4</span><span class="p">),(</span><span class="mi">3</span><span class="p">,</span><span class="mi">4</span><span class="p">),(</span><span class="mi">3</span><span class="p">,</span><span class="mi">5</span><span class="p">),(</span><span class="mi">3</span><span class="p">,</span><span class="mi">6</span><span class="p">),(</span><span class="mi">4</span><span class="p">,</span><span class="mi">5</span><span class="p">),(</span><span class="mi">4</span><span class="p">,</span><span class="mi">6</span><span class="p">),(</span><span class="mi">5</span><span class="p">,</span><span class="mi">6</span><span class="p">),(</span><span class="mi">7</span><span class="p">,</span><span class="mi">8</span><span class="p">)]</span> <span class="gp">>>> </span><span class="n">G</span> <span class="o">=</span> <span class="n">nx</span><span class="o">.</span><span class="n">Graph</span><span class="p">(</span><span class="n">e</span><span class="p">)</span> <span class="gp">>>> </span><span class="n">G</span><span class="o">.</span><span class="n">add_node</span><span class="p">(</span><span class="mi">9</span><span class="p">)</span> <span class="gp">>>> </span><span class="n">nx</span><span class="o">.</span><span class="n">chordal_graph_treewidth</span><span class="p">(</span><span class="n">G</span><span class="p">)</span> <span class="go">3</span> </pre></div> </div> </dd></dl> </div> </div> </div> </div> <div class="clearer"></div> </div> <div class="related"> <h3>Navigation</h3> <ul> <li class="right" style="margin-right: 10px"> <a href="../../genindex.html" title="General Index" >index</a></li> <li class="right" > <a href="../../py-modindex.html" title="Python Module Index" >modules</a> |</li> <li class="right" > <a href="networkx.algorithms.chordal.chordal_alg.find_induced_nodes.html" title="find_induced_nodes" >next</a> |</li> <li class="right" > <a href="networkx.algorithms.chordal.chordal_alg.chordal_graph_cliques.html" title="chordal_graph_cliques" >previous</a> |</li> <li><a href="http://networkx.github.com/">NetworkX Home </a> | </li> <li><a href="http://networkx.github.com/documentation.html">Documentation </a>| </li> <li><a href="http://networkx.github.com/download.html">Download </a> | </li> <li><a href="http://github.com/networkx">Developer (Github)</a></li> <li><a href="../index.html" >Reference</a> »</li> <li><a href="../pdf_reference.html" >Reference</a> »</li> <li><a href="../algorithms.html" >Algorithms</a> »</li> <li><a href="../algorithms.chordal.html" >Chordal</a> »</li> </ul> </div> <div class="footer"> © Copyright 2013, NetworkX Developers. 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