The Chromatic Number of a Graph with Two Odd Holes and an Odd Girth

被引：0
|
作者：
Lan, Kaiyang [1 ]
Liu, Feng [2 ]
机构：
[1] Fuzhou Univ, Ctr Discrete Math, Fujian 350003, Peoples R China
[2] East China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
来源：
GRAPHS AND COMBINATORICS | 2023年 / 39卷 / 06期
关键词：
Chromatic number; Girth; Odd hole;
D O I：
10.1007/s00373-023-02723-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An odd hole is an induced odd cycle of length at least five. Let l >= 2 be an integer, and let G(l) denote the family of graphs which have girth 2l + 1 and have no holes of odd length at least 2l + 5. In this paper, we prove that every graph G is an element of U(l >= 3)G(l) is 4-colourable.
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