<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>randomUniformHyperGraph -- returns a random uniform hypergraph</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_ring_lp__Hyper__Graph_rp.html">next</a> | <a href="_random__Hyper__Graph_lp..._cm_sp__Time__Limit_sp_eq_gt_sp..._rp.html">previous</a> | <a href="_ring_lp__Hyper__Graph_rp.html">forward</a> | <a href="_random__Hyper__Graph_lp..._cm_sp__Time__Limit_sp_eq_gt_sp..._rp.html">backward</a> | up | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <hr/> <div><h1>randomUniformHyperGraph -- returns a random uniform hypergraph</h1> <div class="single"><h2>Synopsis</h2> <ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>H = randomUniformHyperGraph(R,c,d)</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>R</tt>, <span>a <a href="../../Macaulay2Doc/html/___Polynomial__Ring.html">polynomial ring</a></span>, which gives the vertex set of <tt>H</tt></span></li> <li><span><tt>c</tt>, <span>an <a href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, the cardinality of the edge sets</span></li> <li><span><tt>d</tt>, <span>an <a href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, the number of edges in <tt>H</tt></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><tt>H</tt>, <span>a <a href="___Hyper__Graph.html">hypergraph</a></span>, a hypergraph with <tt>d</tt> edges of cardinality <tt>c</tt> on vertex set determined by <tt>R</tt></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><div>This function allows one to create a uniform hypergraph on an underlying vertex set with a given number of randomly chosen edges of given cardinality.</div> <table class="examples"><tr><td><pre>i1 : R = QQ[x_1..x_9];</pre> </td></tr> <tr><td><pre>i2 : randomUniformHyperGraph(R,3,4) o2 = HyperGraph{edges => {{x , x , x }, {x , x , x }, {x , x , x }, {x , x , x }}} 3 4 7 4 5 6 7 8 9 3 7 9 ring => R vertices => {x , x , x , x , x , x , x , x , x } 1 2 3 4 5 6 7 8 9 o2 : HyperGraph</pre> </td></tr> <tr><td><pre>i3 : randomUniformHyperGraph(R,4,2) o3 = HyperGraph{edges => {{x , x , x , x }, {x , x , x , x }} } 1 4 5 7 1 3 4 5 ring => R vertices => {x , x , x , x , x , x , x , x , x } 1 2 3 4 5 6 7 8 9 o3 : HyperGraph</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_random__Graph.html" title="returns a random graph">randomGraph</a> -- returns a random graph</span></li> <li><span><a href="_random__Hyper__Graph.html" title="returns a random hypergraph">randomHyperGraph</a> -- returns a random hypergraph</span></li> <li><span><a href="___Constructor_sp__Overview.html" title="a summary of the many ways of making graphs and hypergraphs">Constructor Overview</a> -- a summary of the many ways of making graphs and hypergraphs</span></li> </ul> </div> <div class="waystouse"><h2>Ways to use <tt>randomUniformHyperGraph</tt> :</h2> <ul><li>randomUniformHyperGraph(PolynomialRing,ZZ,ZZ)</li> </ul> </div> </div> </body> </html>