<!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>erdos_renyi_graph — 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="Graph generators" href="../generators.html" /> <link rel="next" title="binomial_graph" href="networkx.generators.random_graphs.binomial_graph.html" /> <link rel="prev" title="gnm_random_graph" href="networkx.generators.random_graphs.gnm_random_graph.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.generators.random_graphs.binomial_graph.html" title="binomial_graph" accesskey="N">next</a> |</li> <li class="right" > <a href="networkx.generators.random_graphs.gnm_random_graph.html" title="gnm_random_graph" 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="../generators.html" accesskey="U">Graph generators</a> »</li> </ul> </div> <div class="sphinxsidebar"> <div class="sphinxsidebarwrapper"> <h4>Previous topic</h4> <p class="topless"><a href="networkx.generators.random_graphs.gnm_random_graph.html" title="previous chapter">gnm_random_graph</a></p> <h4>Next topic</h4> <p class="topless"><a href="networkx.generators.random_graphs.binomial_graph.html" title="next chapter">binomial_graph</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="erdos-renyi-graph"> <h1>erdos_renyi_graph<a class="headerlink" href="#erdos-renyi-graph" title="Permalink to this headline">¶</a></h1> <dl class="function"> <dt id="networkx.generators.random_graphs.erdos_renyi_graph"> <tt class="descname">erdos_renyi_graph</tt><big>(</big><em>n</em>, <em>p</em>, <em>seed=None</em>, <em>directed=False</em><big>)</big><a class="headerlink" href="#networkx.generators.random_graphs.erdos_renyi_graph" title="Permalink to this definition">¶</a></dt> <dd><p>Return a random graph G_{n,p} (Erdős-Rényi graph, binomial graph).</p> <p>Chooses each of the possible edges with probability p.</p> <p>This is also called binomial_graph and erdos_renyi_graph.</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>n</strong> : int</p> <blockquote> <div><p>The number of nodes.</p> </div></blockquote> <p><strong>p</strong> : float</p> <blockquote> <div><p>Probability for edge creation.</p> </div></blockquote> <p><strong>seed</strong> : int, optional</p> <blockquote> <div><p>Seed for random number generator (default=None).</p> </div></blockquote> <p><strong>directed</strong> : bool, optional (default=False)</p> <blockquote class="last"> <div><p>If True return a directed graph</p> </div></blockquote> </td> </tr> </tbody> </table> <div class="admonition-see-also admonition seealso"> <p class="first admonition-title">See also</p> <p class="last"><a class="reference internal" href="networkx.generators.random_graphs.fast_gnp_random_graph.html#networkx.generators.random_graphs.fast_gnp_random_graph" title="networkx.generators.random_graphs.fast_gnp_random_graph"><tt class="xref py py-obj docutils literal"><span class="pre">fast_gnp_random_graph</span></tt></a></p> </div> <p class="rubric">Notes</p> <p>This is an O(n^2) algorithm. For sparse graphs (small p) see fast_gnp_random_graph for a faster algorithm.</p> <p class="rubric">References</p> <table class="docutils citation" frame="void" id="r278" rules="none"> <colgroup><col class="label" /><col /></colgroup> <tbody valign="top"> <tr><td class="label"><a class="fn-backref" href="#id1">[R278]</a></td><td><ol class="first last upperalpha simple" start="16"> <li>Erdős and A. Rényi, On Random Graphs, Publ. Math. 6, 290 (1959).</li> </ol> </td></tr> </tbody> </table> <table class="docutils citation" frame="void" id="r279" rules="none"> <colgroup><col class="label" /><col /></colgroup> <tbody valign="top"> <tr><td class="label"><a class="fn-backref" href="#id2">[R279]</a></td><td><ol class="first last upperalpha simple" start="5"> <li><ol class="first upperalpha" start="14"> <li>Gilbert, Random Graphs, Ann. Math. Stat., 30, 1141 (1959).</li> </ol> </li> </ol> </td></tr> </tbody> </table> </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.generators.random_graphs.binomial_graph.html" title="binomial_graph" >next</a> |</li> <li class="right" > <a href="networkx.generators.random_graphs.gnm_random_graph.html" title="gnm_random_graph" >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="../generators.html" >Graph generators</a> »</li> </ul> </div> <div class="footer"> © Copyright 2013, NetworkX Developers. 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