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About: Cograph     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatPerfectGraphs, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: softwareyago:Abstraction100002137yago:Action114006945yago:Attribute100024264yago:Communication100033020yago:Graph107000195yago:Operation114008806yago:WikicatGraphOperationsyago:State100024720yago:VisualCommunication106873252yago:WikicatPerfectGraphs New Facet based on Instances of this Class

In graph theory, a cograph, or complement-reducible graph, or P4-free graph, is a graph that can be generated from the single-vertex graph K1 by complementation and disjoint union. That is, the family of cographs is the smallest class of graphs that includes K1 and is closed under complementation and disjoint union. Special cases of the cographs include the complete graphs, complete bipartite graphs, cluster graphs, and threshold graphs. The cographs are, in turn, special cases of the distance-hereditary graphs, permutation graphs, comparability graphs, and perfect graphs.