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<section id="module-networkit.clique">
<span id="networkit-clique"></span><h1>networkit.clique<a class="headerlink" href="#module-networkit.clique" title="Link to this heading">¶</a></h1>
<dl class="py class">
<dt class="sig sig-object py" id="networkit.clique.MaximalCliques">
<span class="property"><span class="k"><span class="pre">class</span></span><span class="w"> </span></span><span class="sig-prename descclassname"><span class="pre">networkit.clique.</span></span><span class="sig-name descname"><span class="pre">MaximalCliques</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">G</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">maximumOnly</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">callback</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#networkit.clique.MaximalCliques" title="Link to this definition">¶</a></dt>
<dd><p>Bases: <a class="reference internal" href="base.html#networkit.base.Algorithm" title="networkit.base.Algorithm"><code class="xref py py-class docutils literal notranslate"><span class="pre">Algorithm</span></code></a></p>
<p>Algorithm for listing all maximal cliques.</p>
<p>The implementation is based on the “hybrid” algorithm described in</p>
<p>Eppstein, D., & Strash, D. (2011).
Listing All Maximal Cliques in Large Sparse Real-World Graphs.
In P. M. Pardalos & S. Rebennack (Eds.),
Experimental Algorithms (pp. 364375). Springer Berlin Heidelberg.
Retrieved from <a class="reference external" href="http://link.springer.com/chapter/10.1007/978-3-642-20662-7_31">http://link.springer.com/chapter/10.1007/978-3-642-20662-7_31</a></p>
<p>The running time of this algorithm should be in <span class="math notranslate nohighlight">\(O(d^2 * n * 3^{d/3})\)</span>
where f is the degeneracy of the graph, i.e., the maximum core number.
The running time in practive depends on the structure of the graph. In
particular for complex networks it is usually quite fast, even graphs with
millions of edges can usually be processed in less than a minute.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters<span class="colon">:</span></dt>
<dd class="field-odd"><ul class="simple">
<li><p><strong>G</strong> (<a class="reference internal" href="networkit.html#networkit.Graph" title="networkit.Graph"><em>networkit.Graph</em></a>) – The graph to list the cliques for</p></li>
<li><p><strong>maximumOnly</strong> (<em>bool</em><em>, </em><em>optional</em>) – A value of True denotes that only one maximum clique is desired. This enables
further optimizations of the algorithm to skip smaller cliques more
efficiently. This parameter is only considered when no callback is given. Default: False</p></li>
<li><p><strong>callback</strong> (<em>callable</em><em>, </em><em>optional</em>) – If a callable Python object is given, it will be called once for each
maximal clique. Then no cliques will be stored. The callback must accept
one parameter which is a list of nodes. Default: None</p></li>
</ul>
</dd>
</dl>
<dl class="py method">
<dt class="sig sig-object py" id="networkit.clique.MaximalCliques.getCliques">
<span class="sig-name descname"><span class="pre">getCliques</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#networkit.clique.MaximalCliques.getCliques" title="Link to this definition">¶</a></dt>
<dd><p>Return all found cliques unless a callback was given.</p>
<p>This method will throw if a callback was given and thus the cliques were not stored.
If only the maximum clique was stored, it will return exactly one clique unless the graph
is empty.</p>
<dl class="field-list simple">
<dt class="field-odd">Returns<span class="colon">:</span></dt>
<dd class="field-odd"><p>A list of cliques, each being represented as a list of nodes.</p>
</dd>
<dt class="field-even">Return type<span class="colon">:</span></dt>
<dd class="field-even"><p>list(list(int))</p>
</dd>
</dl>
</dd></dl>
</dd></dl>
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