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+ <title>label_prop(1) - Find communities using label propagation</title>
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+ <div class='mp' id='man'>
+
+ <div class='man-navigation' style='display:none'>
+ <a href="#NAME">NAME</a>
+ <a href="#SYNOPSIS">SYNOPSIS</a>
+ <a href="#DESCRIPTION">DESCRIPTION</a>
+ <a href="#PARAMETERS">PARAMETERS</a>
+ <a href="#OUTPUT">OUTPUT</a>
+ <a href="#EXAMPLES">EXAMPLES</a>
+ <a href="#SEE-ALSO">SEE ALSO</a>
+ <a href="#REFERENCES">REFERENCES</a>
+ <a href="#AUTHORS">AUTHORS</a>
+ </div>
+
+ <ol class='man-decor man-head man head'>
+ <li class='tl'>label_prop(1)</li>
+ <li class='tc'>www.complex-networks.net</li>
+ <li class='tr'>label_prop(1)</li>
+ </ol>
+
+ <h2 id="NAME">NAME</h2>
+<p class="man-name">
+ <code>label_prop</code> - <span class="man-whatis">Find communities using label propagation</span>
+</p>
+
+<h2 id="SYNOPSIS">SYNOPSIS</h2>
+
+<p><code>label_prop</code> [SYNC|ASYNC] <var>graph_in</var> [<var>max_epochs</var>]</p>
+
+<h2 id="DESCRIPTION">DESCRIPTION</h2>
+
+<p><code>label_prop</code> finds the communities in <var>graph_in</var> using the label
+propagation algorithm proposed by Raghavan, Albert, and Kumara. The
+program prints on STDOUT the partition obtained where no more label
+flips are possible, and reports on STDERR the number of communities
+and the corresponding value of modularity at each epoch. When used in
+ASYNC mode, the algorithm is suitable to find communities in large
+graphs.</p>
+
+<h2 id="PARAMETERS">PARAMETERS</h2>
+
+<dl>
+<dt><code>SYNC</code>|<code>ASYNC</code></dt><dd><p> The first parameter is used to choose between synchronous (<code>SYNC</code>)
+ or asynchronous (<code>ASYNC</code>) label update.</p></dd>
+<dt><var>graph_in</var></dt><dd><p> undirected input graph (edge list). If is equal to <code>-</code> (dash), read
+ the edge list from STDIN.</p></dd>
+<dt><var>max_epochs</var></dt><dd><p> Sets the maximum number of epochs to run (optional).</p></dd>
+</dl>
+
+
+<h2 id="OUTPUT">OUTPUT</h2>
+
+<p>The program prints on STDOUT the partition obtained where no more
+label flips are possible, in the format:</p>
+
+<pre><code> ## nc: NUM_COMM Q_max: Q_MAX Epochs: EPOCHS
+ node_1 comm_1
+ node_2 comm_2
+ node_3 comm_3
+ ...
+</code></pre>
+
+<p>where <code>comm_i</code> is the community to which <code>node_i</code> belongs. The first
+output line reports the number of communities <code>NUM_COMM</code>, the
+corresponding value of modularity <code>Q_MAX</code>, and the number of epochs
+<code>EPOCHS</code> used to find the partition.</p>
+
+<p>The program prints on STDERR the epoch number, the value of modularity
+of the partition at that epoch, and the number of flips made in that
+epoch, in the format:</p>
+
+<pre><code> 1 Q_1 flips_1
+ 2 Q_2 flips_2
+ 3 Q_3 flips_3
+ ....
+</code></pre>
+
+<p>where <code>Q_i</code> is the modularity of the partition at the i-th epoch, and
+<code>flips_i</code> is the number of label flips performed during that
+epoch.</p>
+
+<h2 id="EXAMPLES">EXAMPLES</h2>
+
+<p>We can use <code>label_prop</code> to find communities in the graph
+<code>karate_club_unweighted.net</code> (Zachary Karate Club network) with the command:</p>
+
+<pre><code> $ label_prop ASYNC karate_club_unweighted.net 2&gt; karate_label-prop_trace
+ ### nc: 2 Q_max: 0.371795 Epochs: 6
+ 0 0
+ 1 0
+ 2 0
+ 3 0
+ ...
+ 30 1
+ 31 1
+ 32 1
+ 33 1
+ $
+</code></pre>
+
+<p>The program has found a partition with 2 communities corrisponding to
+a modularity Q=0.371795. Notice that node 0, 1, 2, 3, are in community
+0, while node 30, 31, 32, 33 are in community 1. In this example, we
+have chosen to save the information about the modularity and number of
+flips at each epoch in the file <code>karate_label-prop_trace</code>.</p>
+
+<h2 id="SEE-ALSO">SEE ALSO</h2>
+
+<p><a class="man-ref" href="modularity.1.html">modularity<span class="s">(1)</span></a>, <a class="man-ref" href="gn.1.html">gn<span class="s">(1)</span></a>, <a class="man-ref" href="cnm.1.html">cnm<span class="s">(1)</span></a></p>
+
+<h2 id="REFERENCES">REFERENCES</h2>
+
+<ul>
+<li><p>U. N. Raghavan, R. Albert, and S. Kumara. "Near linear time
+algorithm to detect community structures in large-scale
+networks". Phys. Rev. E 76 (2007), 036106.</p></li>
+<li><p>V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles,
+Methods and Applications", Appendix 19, Cambridge University Press
+(2017)</p></li>
+<li><p>V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles,
+Methods and Applications", Chapter 9, Cambridge University Press
+(2017)</p></li>
+</ul>
+
+
+<h2 id="AUTHORS">AUTHORS</h2>
+
+<p>(c) Vincenzo 'KatolaZ' Nicosia 2009-2017 <code>&lt;v.nicosia@qmul.ac.uk&gt;</code>.</p>
+
+
+ <ol class='man-decor man-foot man foot'>
+ <li class='tl'>www.complex-networks.net</li>
+ <li class='tc'>September 2017</li>
+ <li class='tr'>label_prop(1)</li>
+ </ol>
+
+ </div>
+</body>
+</html>