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<head><title>ring(HyperGraph) -- gives the ring of a (hyper)graph</title>
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<div><h1>ring(HyperGraph) -- gives the ring 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>R = ring H</tt></div>
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<li><span>Function: <a href="../../Macaulay2Doc/html/_ring.html" title="get the associated ring of an object">ring</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>H</tt>, <span>a <a href="___Hyper__Graph.html">hypergraph</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span><tt>R</tt>, <span>a <a href="../../Macaulay2Doc/html/___Ring.html">ring</a></span></span></li>
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<div class="single"><h2>Description</h2>
<div><div>Every (hyper)graph is defined over some polynomial ring. This method returns the ring of a hypergraph.</div>
<table class="examples"><tr><td><pre>i1 : S = QQ[a..d];</pre>
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<tr><td><pre>i2 : g = cycle S;</pre>
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<tr><td><pre>i3 : h = inducedHyperGraph(g,{a,b,c});</pre>
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<tr><td><pre>i4 : describe ring g
o4 = QQ[a..d, Degrees => {4:1}, Heft => {1}, MonomialOrder =>
------------------------------------------------------------------------
{MonomialSize => 32}, DegreeRank => 1]
{GRevLex => {4:1} }
{Position => Up }</pre>
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<tr><td><pre>i5 : describe ring h
o5 = QQ[a..c, Degrees => {3:1}, Heft => {1}, MonomialOrder =>
------------------------------------------------------------------------
{MonomialSize => 32}, DegreeRank => 1]
{GRevLex => {3:1} }
{Position => Up }</pre>
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<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>
<li><span><a href="_vertices.html" title="gets the vertices of a (hyper)graph">vertices</a> -- gets the vertices of a (hyper)graph</span></li>
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