Characterisations of intersection graphs by vertex orderings

نویسنده

  • David R. Wood
چکیده

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, cocomparability graphs, AT-free graphs, and split graphs have bandwidth bounded by their maximum degree.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 34  شماره 

صفحات  -

تاریخ انتشار 2006