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<a accesskey="1" href="page.php?w=comparability_graph&amp;p=7">1.Previous</a><br />
<a accesskey="3" href="page.php?w=comparability_graph&amp;p=9">3.Next</a>
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<p>subclass of <a href="page.php?w=perfect_graph">perfect graph</a>s, inheriting this property from the fact that both comparability graphs and their complements are perfect (by <a href="page.php?w=Dilworth%27s_theorem">Dilworth's theorem</a> and <a href="page.php?w=Mirsky%27s_theorem">Mirsky's theorem</a> respectively).</p>

<p>Every cocomparability graph is <a href="page.php?w=asteroidal_triple-free_graph">asteroidal triple-free</a> (AT-free). This places them within the hierarchy: <a href="page.php?w=interval_graph">interval</a> ? <a href="page.php?w=trapezoid_graph">trapezoid</a></p><p>
<a accesskey="1" href="page.php?w=comparability_graph&amp;p=7">1.Previous</a><br />
<a accesskey="3" href="page.php?w=comparability_graph&amp;p=9">3.Next</a>
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