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<title>clust_w(1) - Compute the graph and node clustering of weighted graphs</title>
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<a href="#NAME">NAME</a>
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<a href="#SYNOPSIS">SYNOPSIS</a>
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<a href="#DESCRIPTION">DESCRIPTION</a>
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<a href="#PARAMETERS">PARAMETERS</a>
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<a href="#OUTPUT">OUTPUT</a>
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<a href="#EXAMPLES">EXAMPLES</a>
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<a href="#SEE-ALSO">SEE ALSO</a>
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<a href="#REFERENCES">REFERENCES</a>
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<ol class='man-decor man-head man head'>
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<li class='tl'>clust_w(1)</li>
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<li class='tc'>www.complex-networks.net</li>
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<li class='tr'>clust_w(1)</li>
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</ol>
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<h2 id="NAME">NAME</h2>
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<p class="man-name">
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<code>clust_w</code> - <span class="man-whatis">Compute the graph and node clustering of weighted graphs</span>
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</p>
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<h2 id="SYNOPSIS">SYNOPSIS</h2>
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<p><code>clust_w</code> <var>graph_in</var> [SHOW]</p>
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<h2 id="DESCRIPTION">DESCRIPTION</h2>
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<p><code>clust_w</code> computes the clustering coefficient of the undirected and
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weighted graph given as input in the file <var>graph_in</var>. The program uses
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the definition of weighted clustering proposed by Barrat, Barthelemy,
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Pastor-Satorras ans Vespignani. If <code>SHOW</code> is provided as a second
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parameter, the program prints on STDERR the label, degree, and
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clustering coefficient of all the nodes in <var>graph_in</var>.</p>
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<h2 id="PARAMETERS">PARAMETERS</h2>
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<dl>
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<dt><var>graph_in</var></dt><dd><p> undirected and weighted input graph (edge list). If it is equal to
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<code>-</code> (dash), read the edge list from STDIN.</p></dd>
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<dt class="flush">SHOW</dt><dd><p> If the second (optional) parameter is equal to <code>SHOW</code>, the program
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will dump on the standard error the label, degree, and clustering
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coefficient of each node in <var>graph_in</var>.</p></dd>
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</dl>
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<h2 id="OUTPUT">OUTPUT</h2>
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<p>If only <var>graph_in</var> is specified, then the output is a single line,
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containing the clustering coefficient of the undirected and weighted
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graph provided as input. If <code>SHOW</code> is specified, the program will
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print on the standard output one line for each node, in the format:</p>
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<pre><code>node_1 k_1 c_1
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node_2 k_2 c_2
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node_3 k_3 c_3
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....
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</code></pre>
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<p>where <code>node_1</code> is the label of the node, <code>k_1</code> is its degree, and
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<code>c_1</code> is its node clustering coefficient.</p>
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<h2 id="EXAMPLES">EXAMPLES</h2>
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<p>The most simple way of using <code>clust</code> is to compute only the clustering
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coefficient of a graph. For instance, the command:</p>
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<pre><code> $ clust_w US_airports.net
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0.01034196
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$
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</code></pre>
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<p>computes the weighted clustering coefficient of the graph
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<code>US_airports.net</code> (the US air transportation network). In order to
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obtain the weighted clustering coefficient of all the nodes, we should
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use:</p>
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<pre><code> $ clust_w US_airports.net SHOW
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0 145 0.30493676524961
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1 136 0.364315549333
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2 132 0.3443612411812
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3 76 0.52204673222936
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....
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497 2 1
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498 2 1
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499 1 0
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0.65111741
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$
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</code></pre>
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<p>The last line printed on output is still the value of the weighted
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clustering coefficient of the graph, while the previous 500 lines
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(which are printed on STDERR) contain the label, degree, and weighted
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clustering coefficient of each node. For instance, the first line
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indicates that node <code>0</code> has degree equal to <code>145</code> and clustering
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coefficient equal to <code>0.30493676524961</code>. It is more convenient to save
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the values of node clustering coefficients in a file, e.g.:</p>
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<pre><code> $ clust_w US_airports.net SHOW 2> node_clust_w
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0.65111741
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$
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</code></pre>
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<p>In this case, the program prints on output only the weighted graph
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clustering coefficient <code>0.65111741</code>, while the node clustering
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coefficients are saved on the file <code>node_clust_w</code> (notice the syntax
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<code>2> node_clust_w</code>, which redirects the STDERR to the file
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<code>node_clust_w</code>).</p>
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<h2 id="SEE-ALSO">SEE ALSO</h2>
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<p><span class="man-ref">clust<span class="s">(1)</span></span></p>
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<h2 id="REFERENCES">REFERENCES</h2>
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<ul>
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<li>V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles,
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Methods and Applications", Chapter 10, Cambridge University Press
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(2017)</li>
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</ul>
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<h2 id="AUTHORS">AUTHORS</h2>
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<p>(c) Vincenzo 'KatolaZ' Nicosia 2009-2017 <code><v.nicosia@qmul.ac.uk></code>.</p>
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<ol class='man-decor man-foot man foot'>
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<li class='tl'>www.complex-networks.net</li>
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<li class='tc'>September 2017</li>
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<li class='tr'>clust_w(1)</li>
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</ol>
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