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<head><title>getMaxCliques -- returns maximal cliques in a graph</title>
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<div><h1>getMaxCliques -- returns maximal cliques in a 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>C = getMaxCliques G</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>G</tt>, <span>a <a href="___Graph.html">graph</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span><tt>C</tt>, <span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, of cliques of maximal size contained in <tt>G</tt></span></li>
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<div class="single"><h2>Description</h2>
<div><div>This function returns all cliques of maximal size in a graph as a list of lists. For more details, see <a href="_get__Cliques.html" title="returns cliques in a graph">getCliques</a>.</div>
<table class="examples"><tr><td><pre>i1 : R = QQ[a..d];</pre>
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<tr><td><pre>i2 : G = completeGraph R
o2 = Graph{edges => {{a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}}}
ring => R
vertices => {a, b, c, d}
o2 : Graph</pre>
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<tr><td><pre>i3 : getMaxCliques G
o3 = {{a, b, c, d}}
o3 : List</pre>
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<tr><td><pre>i4 : H = graph({a*b,b*c,a*c,c*d,b*d})
o4 = Graph{edges => {{a, b}, {a, c}, {b, c}, {b, d}, {c, d}}}
ring => R
vertices => {a, b, c, d}
o4 : Graph</pre>
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<tr><td><pre>i5 : getMaxCliques H
o5 = {{a, b, c}, {b, c, d}}
o5 : List</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_clique__Number.html" title="computes the clique number of a graph">cliqueNumber</a> -- computes the clique number of a graph</span></li>
<li><span><a href="_get__Cliques.html" title="returns cliques in a graph">getCliques</a> -- returns cliques in a graph</span></li>
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<div class="waystouse"><h2>Ways to use <tt>getMaxCliques</tt> :</h2>
<ul><li>getMaxCliques(Graph)</li>
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