Sophie

Sophie

distrib > Fedora > 15 > i386 > by-pkgid > 7ebd25ac536d248d499a3ce2acda963a > files > 1823

Macaulay2-1.3.1-8.fc15.i686.rpm

<?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>deleteEdges -- returns the (hyper)graph with specified edges removed</title>
<link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/>
</head>
<body>
<table class="buttons">
  <tr>
    <td><div><a href="_edge__Ideal.html">next</a> | <a href="_degree__Vertex.html">previous</a> | <a href="_edge__Ideal.html">forward</a> | <a href="_degree__Vertex.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>deleteEdges -- returns the (hyper)graph with specified edges removed</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 = deleteEdges(H, S)</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></span></li>
<li><span><tt>S</tt>, <span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, a subset of the edges of the graph or hypergraph</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>, the hypergraph with edges in S removed</span></li>
</ul>
</div>
</li>
</ul>
</div>
<div class="single"><h2>Description</h2>
<div><div>This function enables the user to remove specified edges from a hypergraph to form a subhypergraph.</div>
<table class="examples"><tr><td><pre>i1 : S = QQ[a,b,c,d,e];</pre>
</td></tr>
<tr><td><pre>i2 : g = cycle S

o2 = Graph{edges => {{a, b}, {b, c}, {c, d}, {d, e}, {a, e}}}
           ring => S
           vertices => {a, b, c, d, e}

o2 : Graph</pre>
</td></tr>
<tr><td><pre>i3 : T = {{a,b},{d,e}}

o3 = {{a, b}, {d, e}}

o3 : List</pre>
</td></tr>
<tr><td><pre>i4 : gprime = deleteEdges (g,T)

o4 = HyperGraph{edges => {{c, d}, {b, c}, {a, e}}}
                ring => S
                vertices => {a, b, c, d, e}

o4 : HyperGraph</pre>
</td></tr>
<tr><td><pre>i5 : h = hyperGraph {a*b*c,c*d*e,a*e}

o5 = HyperGraph{edges => {{a, b, c}, {a, e}, {c, d, e}}}
                ring => S
                vertices => {a, b, c, d, e}

o5 : HyperGraph</pre>
</td></tr>
<tr><td><pre>i6 : T = edges h

o6 = {{a, b, c}, {a, e}, {c, d, e}}

o6 : List</pre>
</td></tr>
<tr><td><pre>i7 : hprime = deleteEdges (h,T)

o7 = HyperGraph{edges => {}                }
                ring => S
                vertices => {a, b, c, d, e}

o7 : HyperGraph</pre>
</td></tr>
</table>
</div>
</div>
<div class="waystouse"><h2>Ways to use <tt>deleteEdges</tt> :</h2>
<ul><li>deleteEdges(HyperGraph,List)</li>
</ul>
</div>
</div>
</body>
</html>