<!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>er_B(1) - Sample a random graph from the Erdos-Renyi model B</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="#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'>er_B(1)</li> <li class='tc'>www.complex-networks.net</li> <li class='tr'>er_B(1)</li> </ol> <h2 id="NAME">NAME</h2> <p class="man-name"> <code>er_B</code> - <span class="man-whatis">Sample a random graph from the Erdos-Renyi model B</span> </p> <h2 id="SYNOPSIS">SYNOPSIS</h2> <p><code>er_B</code> <var>N</var> <em>p</em> [<var>fileout</var>]</p> <h2 id="DESCRIPTION">DESCRIPTION</h2> <p><code>er_B</code> samples a random graph from the Erdos-Renyi model B, i.e. a graph with <var>N</var> nodes where each of the <N(N-1)/2> edges is created independently with probability <em>p</em>. The program dumps the edge list of the resulting graph on output. If the optional <var>fileout</var> is provided, the output is written on a file with that name.</p> <h2 id="PARAMETERS">PARAMETERS</h2> <dl> <dt class="flush"><var>N</var></dt><dd><p> Number of nodes in the final graph.</p></dd> <dt class="flush"><em>p</em></dt><dd><p> Edge probability.</p></dd> <dt class="flush"><var>fileout</var></dt><dd><p> The (optional) name of the filename where the edge list of the graph will be saved.</p></dd> </dl> <h2 id="EXAMPLES">EXAMPLES</h2> <p>The following command:</p> <pre><code> $ er_B 1000 0.006 </code></pre> <p>samples an undirected random network with <var>N=1000</var> nodes where each possible edge is created with probability <em>p=0.006</em>. The output of the command <code>er_B</code> will be the edge-list of the resulting graph, where each (undirected) edge is reported only once. In order to be useful, such edge-list should be saved into a file. The following command:</p> <pre><code> $ er_B 1000 0.006 > er_B_1000_0.006.net </code></pre> <p>will save the resulting graph in the file er_B_1000_0.006.net. Notice the usage of the symbol ">" to redirect the output of the program to a file.</p> <h2 id="SEE-ALSO">SEE ALSO</h2> <p><a class="man-ref" href="er_A.1.html">er_A<span class="s">(1)</span></a>, <a class="man-ref" href="ws.1.html">ws<span class="s">(1)</span></a></p> <h2 id="REFERENCES">REFERENCES</h2> <ul> <li><p>P. Erdos, & A. Rényi, "On Random Graphs I", Publ. Math. Debrecen, 6, 290 (1959)</p></li> <li><p>P.Erdos, & A. Renyi, "On the evolution of random graphs" Publ. Math. Inst. Hungary. Acad. Sci., 5, 17-61 (1960)</p></li> <li><p>V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles, Methods and Applications", Chapter 3, Cambridge University Press (2017)</p></li> <li><p>V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles, Methods and Applications", Appendix 10, 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'>er_B(1)</li> </ol> </div> </body> </html>