New characterizations of proper interval bigraphs (Q896097)
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scientific article; zbMATH DE number 6520415
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New characterizations of proper interval bigraphs |
scientific article; zbMATH DE number 6520415 |
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New characterizations of proper interval bigraphs (English)
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11 December 2015
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An interval bigraph is a bipartite graph that can be obtained by assigning an interval to each vertex in such a way that vertices that do not belong to the same partite set are adjacent if and only if the corresponding intervals intersect. Such a graph is called proper if the intervals can also be chosen in such a way that none of them is completely contained in another. This paper provides three new characterisations of proper interval bigraphs: as bipartite graphs avoiding so-called ``astral'' triples of edges, in terms of the concept of dominating pairs, and by means of the biadjacency matrix.
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proper interval bigraph
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astral triple of edges
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monotone consecutive arrangement
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zero partitionable
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circularly compatible 1's
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dominating pair of vertices
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