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On BF-orderable graphs

✍ Scribed by Kurt Mehlhorn; Bernd H. Schmidt


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
534 KB
Volume
15
Category
Article
ISSN
0166-218X

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πŸ“œ SIMILAR VOLUMES


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In a graph G = (V, E) provided with a linear order ' < ' on T/, a chordless path with vertices a, h, c, d and edges ub, bc, cd is called an obstruction if both a < b and d < c hold. Chvatal(l984) defined the class of perfectly orderable graphs (i.e., graphs possessing an acyclic orientation of the e

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In this paper, we consider r-dominating cliques in homogeneously orderable graphs (a common generalization of dually chordal and distance-hereditary graphs) and their relation to strict r-packing sets. We prove that a homogeneously orderable graph G possesses an r-dominating clique if and only if fo

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## Abstract We characterize (by forbidden induced subgraphs) those line‐graphs that are perfectly orderable. Implicit in our presentation is a polynomial, time algorithm for recognizing these graphs.

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In 1981, Chvatal defined the class of perfectly orderable graphs. This class of perfect graphs contains the comparability graphs and the triangulated graphs. In this paper, we introduce four classes of perfectly orderable graphs, including natural generalizations of the comparability and triangulate