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Characterisations of Intersection Graphs by Vertex Orderings

Characterisations of interval graphs, comparability graphs, co-comparability graphs, permutation graphs, and split graphs in terms of linear orderings of the vertex set are presented. As an application, it is proved that interval graphs, co-comparability graphs, AT-free graphs, and split graphs have bandwidth bounded by their maximum degree.

preprint2004arXivOpen access
David R. Wood
Discrete Mathematics
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David R. Wood

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