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authorKatolaZ <katolaz@freaknet.org>2017-09-27 15:06:31 +0100
committerKatolaZ <katolaz@freaknet.org>2017-09-27 15:06:31 +0100
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+ <title>betweenness(1) - Compute the betweenness centrality of nodes and edges</title>
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+<body id='manpage'>
+ <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'>betweenness(1)</li>
+ <li class='tc'>www.complex-networks.net</li>
+ <li class='tr'>betweenness(1)</li>
+ </ol>
+
+ <h2 id="NAME">NAME</h2>
+<p class="man-name">
+ <code>betweenness</code> - <span class="man-whatis">Compute the betweenness centrality of nodes and edges</span>
+</p>
+
+<h2 id="SYNOPSIS">SYNOPSIS</h2>
+
+<p><code>betweenness</code> <var>graph_in</var> [ SEQ <var>node_start</var> [<var>node_end</var>]]</p>
+
+<p><code>betweenness</code> <var>graph_in</var> [ RND <var>num</var>]</p>
+
+<h2 id="DESCRIPTION">DESCRIPTION</h2>
+
+<p><code>betweenness</code> computes the betweenness centrality of all the nodes and
+edges of an undirected graph provided as input. The program implements
+the algorithm by U. Brandes, and computes the betweenness using all
+the shortest paths originating from a subset of the nodes of the
+graph, either in a sequence (if <em>SEQ</em> is the second parameter) or
+sampled unirofmly at random (if <em>RND</em> is the second parameter). If
+<var>graph_in</var> is the only parameter, <code>betweenness</code> takes into account all
+the shortest paths.</p>
+
+<h2 id="PARAMETERS">PARAMETERS</h2>
+
+<dl>
+<dt><var>graph_in</var></dt><dd><p> input graph (edge list) if equal to <code>-</code> (dash), read the edge list
+ from STDIN.</p></dd>
+<dt><var>node_start</var></dt><dd><p> The label of the first node in a sequence of nodes (when <em>SEQ</em> is
+ the second parameter).</p></dd>
+<dt><var>node_end</var></dt><dd><p> The label of the last node in a sequence of nodes (when <em>SEQ</em> is
+ the second parameter).</p></dd>
+<dt class="flush"><var>num</var></dt><dd><p> The number of nodes to be considered (when <em>RND</em> is the second
+ parameter)</p></dd>
+</dl>
+
+
+<h2 id="OUTPUT">OUTPUT</h2>
+
+<p><code>betweenness</code> prints on the standard output (STDOUT) the betweenness
+centrality of all the nodes, starting from the node with label 0, and
+on the standard error (STDERR) the betweenness centrality of all the
+edges, one edge per line, in the format:</p>
+
+<pre><code>node1 node2 bet_score
+</code></pre>
+
+<h2 id="EXAMPLES">EXAMPLES</h2>
+
+<p>The following command:</p>
+
+<pre><code> $ betweenness er_1000_5000.txt &gt;node_bet 2&gt;edge_bet
+</code></pre>
+
+<p>computes the node and edge betweenness centrality of the graph
+<code>er_1000_5000.txt</code>, using all the shortest paths. Since we used the
+redirections <code>&gt;node_bet</code> and <code>2&gt;edge_bet</code>, the values of node and edge
+betweenness will be saved in the files <code>node_bet</code> and <code>edge_bet</code>,
+respectively.</p>
+
+<p>The command:</p>
+
+<pre><code> $ betweenness er_1000_5000.txt SEQ 100 200 2&gt;edge_bet_100_200
+</code></pre>
+
+<p>will compute the betweenness of nodes and edges in the graph
+<code>er_1000_5000.txt</code>, based only on the shortest paths originating from
+the nodes whose labels are in the range [100,200]. The node
+betweenness will be printed on STDOUT, while the edge betweenness will
+be saved in the file <code>edge_bet_100_200</code>.</p>
+
+<p>Finally, the command:</p>
+
+<pre><code> $ betweenness er_1000_5000.txt RND 250 &gt;node_bet_RND
+</code></pre>
+
+<p>will compute the betweenness centrality based on the shortest paths
+originating from 250 nodes in the graph, sampled uniformly at
+random. The node betweenness is saved in the file <code>node_bet_RND</code>,
+while the values of edge betweenness are printed on STDOUT.</p>
+
+<h2 id="SEE-ALSO">SEE ALSO</h2>
+
+<p><a class="man-ref" href="bet_dependency.1.html">bet_dependency<span class="s">(1)</span></a>, <a class="man-ref" href="shortest.1.html">shortest<span class="s">(1)</span></a></p>
+
+<h2 id="REFERENCES">REFERENCES</h2>
+
+<ul>
+<li><p>U. Brandes. "A Faster Algorithm for Betweenness Centrality".
+J. Math. Sociol. 25 (2001), 163-177.</p></li>
+<li><p>V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles,
+Methods and Applications", Chapter 6, Cambridge University Press
+(2017)</p></li>
+<li><p>V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles,
+Methods and Applications", Appendix 7, 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'>betweenness(1)</li>
+ </ol>
+
+ </div>
+</body>
+</html>