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<title>strong_conn(1) - Find the strongly connected components of a directed graph</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'>strong_conn(1)</li>
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<li class='tc'>www.complex-networks.net</li>
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<li class='tr'>strong_conn(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>strong_conn</code> - <span class="man-whatis">Find the strongly connected components of a directed graph</span>
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</p>
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<h2 id="SYNOPSIS">SYNOPSIS</h2>
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<p><code>strong_conn</code> <var>graph_in</var> [SHOW]</p>
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<h2 id="DESCRIPTION">DESCRIPTION</h2>
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<p><code>strong_conn</code> finds the strongly connected components of the directed
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graph given as input using the Kosaraju-Sharir algorithm, and prints
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the size of each of them. If the optional second parameter <code>SHOW</code> is
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provided, the program dumps on output also the list of nodes belonging
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to each component.</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> input graph (edge list) if equal to <code>-</code> (dash), read the edge list
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from STDIN.</p></dd>
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<dt class="flush">SHOW</dt><dd><p> If the (optional) second parameter is equal to <code>SHOW</code>, the program
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will dump on output the list of all the nodes belonging to each
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strongly connected component.</p></dd>
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</dl>
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<h2 id="OUTPUT">OUTPUT</h2>
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<p><code>strong_conn</code> prints on the standard output the size of all the
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strongly connected components of the directed graph given as input,
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one per line:</p>
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<pre><code> size_1
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size_2
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size_3
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.....
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</code></pre>
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<p>where <code>size_1</code> is the size of the first component, <code>size_2</code> is the
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size of the second component, and so on. Notice that the sizes are not
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sorted. If <code>SHOW</code> is given, the program shows the list of nodes
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belonging to each strongly connected component, in the format:</p>
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<pre><code>size_1: node_1 node_2 node_3 ...
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size_2: node_1 node_2 node_3 ...
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</code></pre>
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<h2 id="EXAMPLES">EXAMPLES</h2>
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<p>The following command:</p>
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<pre><code> $ strong_conn web-NotreDame.net
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53968
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1
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1
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1
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1
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1
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1
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....
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$
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</code></pre>
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<p>shows on output the size of the strongly connected component of the
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graph <code>web-NotreDame.net</code> (the NotreDame WWW data set), in no particular
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order. In this case the graph has 203609 strongly connected
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components, most of them containing only 1 isolated node. If we want
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to know who are the nodes belonging to each connected component, we
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run:</p>
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<pre><code> $ strong_conn web-NotreDame.net SHOW
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53968: 0 1 3 4 5 6 7 8.....
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..... 325727 325728
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1: 351
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1: 350
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1: 2209
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1: 2208
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1: 2206
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1: 10609
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....
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$
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</code></pre>
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<p>It is better to save the output of <code>strong_conn</code> into a file, e.g. by
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using:</p>
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<pre><code> $ strong_conn web-NotreDame.net SHOW > web-NotreDame.net_scc
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</code></pre>
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<h2 id="SEE-ALSO">SEE ALSO</h2>
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<p><a class="man-ref" href="components.1.html">components<span class="s">(1)</span></a>, <a class="man-ref" href="node_components.1.html">node_components<span class="s">(1)</span></a>, <a class="man-ref" href="largest_component.1.html">largest_component<span class="s">(1)</span></a></p>
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<h2 id="REFERENCES">REFERENCES</h2>
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<ul>
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<li><p>V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles,
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Methods and Applications", Chapter 6, Cambridge University Press
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(2017)</p></li>
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<li><p>V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles,
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Methods and Applications", Appendix 8, Cambridge University Press
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(2017)</p></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'>strong_conn(1)</li>
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</ol>
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