Clique covering the edges of a locally cobipartite graph

被引：6

作者：

Chen, GT

Jacobson, MS

Kézdy, AE ^{[1
]}

Lehel, J

Scheinerman, ER

Wang, C

机构：

[1] Univ Louisville, Dept Math, Louisville, KY 40292 USA

[2] Georgia State Univ, Dept Math, Atlanta, GA 30303 USA

[3] Johns Hopkins Univ, Dept Math Sci, Baltimore, MD 21218 USA

来源：

DISCRETE MATHEMATICS | 2000年 / 219卷 / 1-3期

关键词：

claw free; cobipartite graph; competition graph; edge clique cover; Opsut's conjecture;

D O I：

10.1016/S0012-365X(99)00333-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a locally cobipartite graph on n vertices contains a family of at most n cliques that cover its edges, This is related to Opsut's conjecture that states the competition number of a locally cobipartite graph is at most two. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：17 / 26

页数：10

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