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158 lines
6.1 KiB
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<title>er_A(1) - Sample a random graph from the Erdos-Renyi model A</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="#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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<a href="#AUTHORS">AUTHORS</a>
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</div>
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<ol class='man-decor man-head man head'>
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<li class='tl'>er_A(1)</li>
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<li class='tc'>www.complex-networks.net</li>
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<li class='tr'>er_A(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>er_A</code> - <span class="man-whatis">Sample a random graph from the Erdos-Renyi model A</span>
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</p>
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<h2 id="SYNOPSIS">SYNOPSIS</h2>
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<p><code>er_A</code> <var>N</var> <var>K</var> [<var>fileout</var>]</p>
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<h2 id="DESCRIPTION">DESCRIPTION</h2>
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<p><code>er_A</code> samples a random graph with <var>N</var> nodes and <var>K</var> edges from the
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Erdos-Renyi model A, i.e. the ensemble of random graphs where K links
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are placed uniformly at random among N nodes. The program dumps the
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edge list of the resulting graph on output. If the optional <var>fileout</var>
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is provided, the output is written on a file with that name.</p>
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<h2 id="PARAMETERS">PARAMETERS</h2>
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<dl>
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<dt class="flush"><var>N</var></dt><dd><p> Number of nodes in the final graph.</p></dd>
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<dt class="flush"><var>K</var></dt><dd><p> Number of edges in the final graph.</p></dd>
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<dt class="flush"><var>fileout</var></dt><dd><p> The (optional) name of the filename where the edge list of the
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graph will be saved.</p></dd>
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</dl>
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<h2 id="EXAMPLES">EXAMPLES</h2>
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<p>The following command:</p>
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<pre><code> $ er_A 1000 3000
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</code></pre>
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<p>samples an undirected random network with <var>N=1000</var> nodes and <var>K=3000</var>
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edges using the Erdos-Renyi model A. The output of the command <code>er_A</code>
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will be the edge-list of the resulting graph, where each (undirected)
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edge is reported only once. In order to be useful, such edge-list
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should be saved into a file. The following command:</p>
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<pre><code> $ er_A 1000 3000 > er_A_1000_3000.net
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</code></pre>
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<p>will save the resulting graph in the file er_A_1000_3000.net. Notice
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the usage of the symbol ">" to redirect the output of the program to a
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file.</p>
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<h2 id="SEE-ALSO">SEE ALSO</h2>
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<p><span class="man-ref">er_B<span class="s">(1)</span></span>, <span class="man-ref">ws<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>P. Erdos, & A. Rényi, "On Random Graphs I", Publ. Math. Debrecen, 6,
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290 (1959)</p></li>
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<li><p>P.Erdos, & A. Renyi, "On the evolution of random graphs"
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Publ. Math. Inst. Hungary. Acad. Sci., 5, 17-61 (1960)</p></li>
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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 10, 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'>er_A(1)</li>
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</ol>
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