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<head><title>antiCycle -- returns a graph of an anticycle</title>
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<div><h1>antiCycle -- returns a graph of an anticycle</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>C = antiCycle R</tt><br/><tt>C = antiCycle(R,N)</tt><br/><tt>C = antiCycle L</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>R</tt>, <span>a <a href="../../Macaulay2Doc/html/___Ring.html">ring</a></span></span></li>
<li><span><tt>N</tt>, <span>an <a href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, length of anticycle</span></li>
<li><span><tt>L</tt>, <span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, of vertices to make into the complement of a cycle in the order provided</span></li>
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<li><div class="single">Outputs:<ul><li><span><tt>C</tt>, <span>a <a href="___Graph.html">graph</a></span>, an anticycle on the vertices in <tt>L</tt> or on the variables of <tt>R</tt>.</span></li>
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<div class="single"><h2>Description</h2>
<div><div>This function returns the graph that is the complement of the cycle obtained from <tt>L</tt> by applying the function <a href="_cycle.html" title="returns a graph cycle">cycle</a>.</div>
<table class="examples"><tr><td><pre>i1 : R = QQ[a,b,c,d,e];</pre>
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<tr><td><pre>i2 : antiCycle R
o2 = Graph{edges => {{a, c}, {a, d}, {b, d}, {b, e}, {c, e}}}
ring => R
vertices => {a, b, c, d, e}
o2 : Graph</pre>
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<tr><td><pre>i3 : antiCycle(R,4)
o3 = Graph{edges => {{a, c}, {b, d}} }
ring => R
vertices => {a, b, c, d, e}
o3 : Graph</pre>
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<tr><td><pre>i4 : antiCycle {e,c,d,b}
o4 = Graph{edges => {{e, d}, {c, b}} }
ring => R
vertices => {a, b, c, d, e}
o4 : Graph</pre>
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<tr><td><pre>i5 : complementGraph antiCycle R == cycle R
o5 = true</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_cycle.html" title="returns a graph cycle">cycle</a> -- returns a graph cycle</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>
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<div class="waystouse"><h2>Ways to use <tt>antiCycle</tt> :</h2>
<ul><li>antiCycle(List)</li>
<li>antiCycle(Ring)</li>
<li>antiCycle(Ring,ZZ)</li>
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