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Bigraphs/digraphs of Ferrers dimension 2 and asteroidal triple of edges

Authors
Journal
Discrete Mathematics
0012-365X
Publisher
Elsevier
Publication Date
Volume
295
Identifiers
DOI: 10.1016/j.disc.2004.11.012
Keywords
  • Containment Bigraph/Digraph
  • Separable Bigraph
  • Bichordal Graph
  • Ferrers Dimension
  • Bisimplicial Edge

Abstract

Abstract Three mutually separable edges of a graph form an asteroidal triple of edges (ATE), if for any two of them, there is a path from the vertex set of one to the vertex set of another that avoids the neighbours of the third edge. In this note, it is shown that a bigraph of Ferrers dimension at most 2 is bichordal and ATE-free, but the converse is not true.

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