<!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>hits_scipy — 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="Link Analysis" href="../algorithms.link_analysis.html" /> <link rel="next" title="hub_matrix" href="networkx.algorithms.link_analysis.hits_alg.hub_matrix.html" /> <link rel="prev" title="hits_numpy" href="networkx.algorithms.link_analysis.hits_alg.hits_numpy.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.link_analysis.hits_alg.hub_matrix.html" title="hub_matrix" accesskey="N">next</a> |</li> <li class="right" > <a href="networkx.algorithms.link_analysis.hits_alg.hits_numpy.html" title="hits_numpy" 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.link_analysis.html" accesskey="U">Link Analysis</a> »</li> </ul> </div> <div class="sphinxsidebar"> <div class="sphinxsidebarwrapper"> <h4>Previous topic</h4> <p class="topless"><a href="networkx.algorithms.link_analysis.hits_alg.hits_numpy.html" title="previous chapter">hits_numpy</a></p> <h4>Next topic</h4> <p class="topless"><a href="networkx.algorithms.link_analysis.hits_alg.hub_matrix.html" title="next chapter">hub_matrix</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="hits-scipy"> <h1>hits_scipy<a class="headerlink" href="#hits-scipy" title="Permalink to this headline">¶</a></h1> <dl class="function"> <dt id="networkx.algorithms.link_analysis.hits_alg.hits_scipy"> <tt class="descname">hits_scipy</tt><big>(</big><em>G</em>, <em>max_iter=100</em>, <em>tol=1e-06</em>, <em>normalized=True</em><big>)</big><a class="reference internal" href="../../_modules/networkx/algorithms/link_analysis/hits_alg.html#hits_scipy"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#networkx.algorithms.link_analysis.hits_alg.hits_scipy" title="Permalink to this definition">¶</a></dt> <dd><p>Return HITS hubs and authorities values for nodes.</p> <p>The HITS algorithm computes two numbers for a node. Authorities estimates the node value based on the incoming links. Hubs estimates the node value based on outgoing links.</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> <p><strong>max_iter</strong> : interger, optional</p> <blockquote> <div><p>Maximum number of iterations in power method.</p> </div></blockquote> <p><strong>tol</strong> : float, optional</p> <blockquote> <div><p>Error tolerance used to check convergence in power method iteration.</p> </div></blockquote> <p><strong>nstart</strong> : dictionary, optional</p> <blockquote> <div><p>Starting value of each node for power method iteration.</p> </div></blockquote> <p><strong>normalized</strong> : bool (default=True)</p> <blockquote> <div><p>Normalize results by the sum of all of the values.</p> </div></blockquote> </td> </tr> <tr class="field-even field"><th class="field-name">Returns :</th><td class="field-body"><p class="first"><strong>(hubs,authorities)</strong> : two-tuple of dictionaries</p> <blockquote class="last"> <div><p>Two dictionaries keyed by node containing the hub and authority values.</p> </div></blockquote> </td> </tr> </tbody> </table> <p class="rubric">Notes</p> <p>This implementation uses SciPy sparse matrices.</p> <p>The eigenvector calculation is done by the power iteration method and has no guarantee of convergence. The iteration will stop after max_iter iterations or an error tolerance of number_of_nodes(G)*tol has been reached.</p> <p>The HITS algorithm was designed for directed graphs but this algorithm does not check if the input graph is directed and will execute on undirected graphs.</p> <p class="rubric">References</p> <table class="docutils citation" frame="void" id="r234" rules="none"> <colgroup><col class="label" /><col /></colgroup> <tbody valign="top"> <tr><td class="label"><a class="fn-backref" href="#id1">[R234]</a></td><td>A. Langville and C. Meyer, “A survey of eigenvector methods of web information retrieval.” <a class="reference external" href="http://citeseer.ist.psu.edu/713792.html">http://citeseer.ist.psu.edu/713792.html</a></td></tr> </tbody> </table> <table class="docutils citation" frame="void" id="r235" rules="none"> <colgroup><col class="label" /><col /></colgroup> <tbody valign="top"> <tr><td class="label"><a class="fn-backref" href="#id2">[R235]</a></td><td>Jon Kleinberg, Authoritative sources in a hyperlinked environment Journal of the ACM 46 (5): 604-632, 1999. doi:10.1145/324133.324140. http://www.cs.cornell.edu/home/kleinber/auth.pdf.</td></tr> </tbody> </table> <p class="rubric">Examples</p> <div class="highlight-python"><div class="highlight"><pre><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">path_graph</span><span class="p">(</span><span class="mi">4</span><span class="p">)</span> <span class="gp">>>> </span><span class="n">h</span><span class="p">,</span><span class="n">a</span><span class="o">=</span><span class="n">nx</span><span class="o">.</span><span class="n">hits</span><span class="p">(</span><span class="n">G</span><span class="p">)</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.link_analysis.hits_alg.hub_matrix.html" title="hub_matrix" >next</a> |</li> <li class="right" > <a href="networkx.algorithms.link_analysis.hits_alg.hits_numpy.html" title="hits_numpy" >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.link_analysis.html" >Link Analysis</a> »</li> </ul> </div> <div class="footer"> © Copyright 2013, NetworkX Developers. 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