Comparability Graph
The comparability graph of a partially ordered set P=(X,<=) is the graph with vertex set X for which vertices x and y are adjacent iff either x<=y or y<=x in P.
See also
Interval Graph, Partially Ordered SetExplore with Wolfram|Alpha
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Cite this as:
Weisstein, Eric W. "Comparability Graph." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ComparabilityGraph.html