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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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<li class='tl'>components(1)</li>
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<li class='tc'>www.complex-networks.net</li>
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<li class='tr'>components(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>components</code> - <span class="man-whatis">Find the connected components of a graph</span>
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</p>
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<h2 id="SYNOPSIS">SYNOPSIS</h2>
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<p><code>components</code> <var>graph_in</var> [SHOW]</p>
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<h2 id="DESCRIPTION">DESCRIPTION</h2>
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<p><code>components</code> finds the connected components of the undirected graph
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given as input using the Depth-First Search algorithm, and prints the
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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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connected component.</p></dd>
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</dl>
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<h2 id="OUTPUT">OUTPUT</h2>
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<p><code>components</code> prints on the standard output the size of all the
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connected components of the undirected graph given as input, one per
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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 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> $ components er_1000_5000.txt
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1000
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$
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</code></pre>
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<p>shows on output the size of the only connected component of the graph
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<code>er_1000_5000.txt</code>. In this case the graph has only one connected
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component (it is a super-critical Erdos-Renyi random graph with 1000
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nodes and 5000 edges). A more interesting example can be obtained
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using the graph <code>er_1000_2000.txt</code>:</p>
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<pre><code> $ components er_1000_2000.txt
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985
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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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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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1
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1
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1
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$
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</code></pre>
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<p>In this case, the graph has 16 connected components: one of those
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components contains 985 nodes, while the other 15 components consist
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of isolated nodes. If we want to know who are the nodes belonging to
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each connected component, we run:</p>
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<pre><code> $ components er_1000_2000.txt SHOW
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985: 0 1 2 3 4 5 6 7 8 9 10 11 12.....
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...
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1: 63
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1: 75
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1: 218
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1: 222
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1: 368
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1: 398
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1: 441
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1: 566
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1: 572
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1: 663
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1: 715
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1: 756
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1: 863
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1: 883
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1: 917
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$
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</code></pre>
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<p>If we run:</p>
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<pre><code> $ components er_1000_2000.txt SHOW > er_1000_2000.txt_components
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</code></pre>
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<p>the result of <code>components</code> will be saved in the file
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<code>er_1000_2000.txt_components</code>.</p>
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<h2 id="SEE-ALSO">SEE ALSO</h2>
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<p><span class="man-ref">strong_conn<span class="s">(1)</span></span>, <span class="man-ref">node_components<span class="s">(1)</span></span>, <span class="man-ref">largest_component<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><p>V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles,
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Methods and Applications", Chapter 3, 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'>components(1)</li>
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</ol>
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