<?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>vertices -- gets the vertices of a (hyper)graph</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div>next | <a href="_vertex__Covers.html">previous</a> | forward | <a href="_vertex__Covers.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>vertices -- gets the vertices of a (hyper)graph</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>V = vertices(H)</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>H</tt>, <span>a <a href="___Hyper__Graph.html">hypergraph</a></span>, the input</span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><tt>V</tt>, <span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, of the vertices of <tt>H</tt></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><div>This function takes a graph or hypergraph and returns the vertex set of the graph.</div> <table class="examples"><tr><td><pre>i1 : S = QQ[a..d];</pre> </td></tr> <tr><td><pre>i2 : g = graph {a*b,b*c,c*d,d*a} -- the four cycle o2 = Graph{edges => {{a, b}, {b, c}, {a, d}, {c, d}}} ring => S vertices => {a, b, c, d} o2 : Graph</pre> </td></tr> <tr><td><pre>i3 : vertices g o3 = {a, b, c, d} o3 : List</pre> </td></tr> <tr><td><pre>i4 : h = hyperGraph{a*b*c} o4 = HyperGraph{edges => {{a, b, c}} } ring => S vertices => {a, b, c, d} o4 : HyperGraph</pre> </td></tr> <tr><td><pre>i5 : vertices h -- the vertex d is treated as an isolated vertex o5 = {a, b, c, d} o5 : List</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_edges.html" title="gets the edges of a (hyper)graph">edges</a> -- gets the edges of a (hyper)graph</span></li> </ul> </div> <div class="waystouse"><h2>Ways to use <tt>vertices</tt> :</h2> <ul><li>vertices(HyperGraph)</li> </ul> </div> </div> </body> </html>