The chromatic number of odd-hole-free graphs

IF 1 3区 数学 Q3 MATHEMATICS, APPLIED Discrete Applied Mathematics Pub Date : 2025-03-14 DOI:10.1016/j.dam.2025.02.043
Rong Chen , Kaiyang Lan , Xinheng Lin , Yidong Zhou
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引用次数: 0

Abstract

In this paper, we prove that for each connected odd-hole-free graph G, χ(G)max{Δ(G)1,ω(G)} if and only if G is not isomorphic to the complement of C7.
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无奇洞图的色数
本文证明了对于每一个连通奇空穴图G, χ(G)≤max{Δ(G)−1,ω(G)}当且仅当G不同构于C7的补。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Discrete Applied Mathematics
Discrete Applied Mathematics 数学-应用数学
CiteScore
2.30
自引率
9.10%
发文量
422
审稿时长
4.5 months
期刊介绍: The aim of Discrete Applied Mathematics is to bring together research papers in different areas of algorithmic and applicable discrete mathematics as well as applications of combinatorial mathematics to informatics and various areas of science and technology. Contributions presented to the journal can be research papers, short notes, surveys, and possibly research problems. The "Communications" section will be devoted to the fastest possible publication of recent research results that are checked and recommended for publication by a member of the Editorial Board. The journal will also publish a limited number of book announcements as well as proceedings of conferences. These proceedings will be fully refereed and adhere to the normal standards of the journal. Potential authors are advised to view the journal and the open calls-for-papers of special issues before submitting their manuscripts. Only high-quality, original work that is within the scope of the journal or the targeted special issue will be considered.
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