Coloring graphs without induced 5 or 5-5-e

被引：1
|
作者：
Xu, Yian [1 ]
机构：
[1] Southeast Univ, Sch Math, 2 SEU Rd, Nanjing 211189, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2024年 / 461卷
关键词：
Chromatic number; Clique number; P5; k5-e; (P-5;
D O I：
10.1016/j.amc.2023.128314
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use P5 to denote a path of length 5 and C5 to denote a cycle of length 5. The aim of this paper is to prove that, if G is a connected graph satisfying (1). G has an induced C5 and no clique cut-set, (2). G has no induced subgraph isomorphic toPK5 or K5 - G, then G is max{13, (13) + 1}-colorable.
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页数：9
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