Cycle lengths and chromatic number of graphs

被引：17
|
作者：
Mihók, P
Schiermeyer, I
机构：
[1] Tech Univ, Fac Econ, Kosice 04001, Slovakia
[2] Slovak Acad Sci, Math Inst, Kosice 04001, Slovakia
[3] Tech Univ Bergakad Freiberg, Inst Diskrete Math & Algebra, D-09596 Freiberg, Germany
来源：
DISCRETE MATHEMATICS | 2004年 / 286卷 / 1-2期
关键词：
chromatic number; cycle length; k-degenerate graph;
D O I：
10.1016/j.disc.2003.11.055
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a simple finite graph G let C-o(G) and C-e(G) denote the set of odd cycle lengths and even cycle lengths in a graph G, respectively. We will show that the chromatic number chi(G) of G satisfies: chi(G) less than or equal to min {2r + 2,2s + 3} less than or equal to r + s + 2, if \Co(G)\ = r and \Ce(G)\ = s. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：147 / 149
页数：3
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