A comparability graph is a type of graph that arises in the field of graph theory, specifically in the study of ordered sets (partially ordered sets or posets). In a comparability graph, the vertices represent elements of a partially ordered set, and there is an edge between two vertices if and only if the corresponding elements are comparable in the poset. This means one element is either less than or greater than the other according to the ordering.
New to topics? Read the docs here!