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diff --git a/doc/betweenness.1.html b/doc/betweenness.1.html new file mode 100644 index 0000000..ab25a91 --- /dev/null +++ b/doc/betweenness.1.html @@ -0,0 +1,190 @@ +<!DOCTYPE html> +<html> +<head> + <meta http-equiv='content-type' value='text/html;charset=utf8'> + <meta name='generator' value='Ronn/v0.7.3 (http://github.com/rtomayko/ronn/tree/0.7.3)'> + <title>betweenness(1) - Compute the betweenness centrality of nodes and edges</title> + <style type='text/css' media='all'> + /* style: man */ + body#manpage {margin:0} + .mp {max-width:100ex;padding:0 9ex 1ex 4ex} + .mp p,.mp pre,.mp ul,.mp ol,.mp dl {margin:0 0 20px 0} + .mp h2 {margin:10px 0 0 0} + .mp > p,.mp > pre,.mp > ul,.mp > ol,.mp > dl {margin-left:8ex} + .mp h3 {margin:0 0 0 4ex} + .mp dt {margin:0;clear:left} + .mp dt.flush {float:left;width:8ex} + .mp dd {margin:0 0 0 9ex} + .mp h1,.mp h2,.mp h3,.mp h4 {clear:left} + .mp pre {margin-bottom:20px} + .mp pre+h2,.mp pre+h3 {margin-top:22px} + .mp h2+pre,.mp h3+pre {margin-top:5px} + .mp img {display:block;margin:auto} + .mp h1.man-title {display:none} + .mp,.mp code,.mp pre,.mp tt,.mp kbd,.mp samp,.mp h3,.mp h4 {font-family:monospace;font-size:14px;line-height:1.42857142857143} + .mp h2 {font-size:16px;line-height:1.25} + .mp h1 {font-size:20px;line-height:2} + .mp {text-align:justify;background:#fff} + .mp,.mp code,.mp pre,.mp pre code,.mp tt,.mp kbd,.mp samp {color:#131211} + .mp h1,.mp h2,.mp h3,.mp h4 {color:#030201} + .mp u {text-decoration:underline} + .mp code,.mp strong,.mp b {font-weight:bold;color:#131211} + .mp em,.mp var {font-style:italic;color:#232221;text-decoration:none} + .mp a,.mp a:link,.mp a:hover,.mp a code,.mp a pre,.mp a tt,.mp a kbd,.mp a samp {color:#0000ff} + .mp b.man-ref {font-weight:normal;color:#434241} + .mp pre {padding:0 4ex} + .mp pre code {font-weight:normal;color:#434241} + .mp h2+pre,h3+pre {padding-left:0} + ol.man-decor,ol.man-decor li {margin:3px 0 10px 0;padding:0;float:left;width:33%;list-style-type:none;text-transform:uppercase;color:#999;letter-spacing:1px} + ol.man-decor {width:100%} + ol.man-decor li.tl {text-align:left} + ol.man-decor li.tc {text-align:center;letter-spacing:4px} + ol.man-decor li.tr {text-align:right;float:right} + </style> + <style type='text/css' media='all'> + /* style: toc */ + .man-navigation {display:block !important;position:fixed;top:0;left:113ex;height:100%;width:100%;padding:48px 0 0 0;border-left:1px solid #dbdbdb;background:#eee} + .man-navigation a,.man-navigation a:hover,.man-navigation a:link,.man-navigation a:visited {display:block;margin:0;padding:5px 2px 5px 30px;color:#999;text-decoration:none} + .man-navigation a:hover {color:#111;text-decoration:underline} + </style> +</head> +<!-- + The following styles are deprecated and will be removed at some point: + div#man, div#man ol.man, div#man ol.head, div#man ol.man. + + The .man-page, .man-decor, .man-head, .man-foot, .man-title, and + .man-navigation should be used instead. +--> +<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 >node_bet 2>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>>node_bet</code> and <code>2>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>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 >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><v.nicosia@qmul.ac.uk></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> |