A Finite Characterization of Intersection Graphs of Hypergraphs with a Rank of at Most 3 and a Multiplicity of at Most 2 in the Class of Threshold Graphs
نویسندگان
چکیده
We characterize the class of intersection graphs of hypergraphs with a rank of at most 3 and a multiplicity of at most 2 by means of a finite list of forbidden induced subgraphs in the class of threshold graphs. 2000 Mathematics Subject Classification: 05C62, 05C75, 05C70, 05C65
منابع مشابه
A Finite Characterization and Recognition
20 We characterize the class L3 of intersection graphs of hypergraphs with 21 rank at most 3 and multiplicity at most 2 by means of a finite list of forbidden 22 induced subgraphs in the class of threshold graphs. We also give an O(n)23 time algorithm for the recognition of graphs from L3 in the class of threshold 24 graphs, where n is the number of vertices of a tested graph. 25
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