Bipartite bithreshold graphs (Q688258)

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scientific article; zbMATH DE number 444642
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Bipartite bithreshold graphs
scientific article; zbMATH DE number 444642

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    Bipartite bithreshold graphs (English)
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    26 June 1994
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    This paper deals with bithreshold graphs and their characterization. After having given some necessary properties the authors succeed in proving a complete characterization of the class of bipartite bithreshold graphs by means of 11 not bithreshold (so-called forbidden induced subgraphs) and 5 classes of induced subgraphs. The proof is very tricky and beautiful. The authors conclude by presenting an \(O(n^ 2)\)- algorithm for recognizing bipartite bithreshold graphs.
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    bithreshold graphs
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