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author:

Lan, K. (Lan, K..) [1] | Liu, F. (Liu, F..) [2]

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Scopus

Abstract:

An odd hole is an induced odd cycle of length at least five. Let ℓ≥ 2 be an integer, and let Gℓ denote the family of graphs which have girth 2 ℓ+ 1 and have no holes of odd length at least 2 ℓ+ 5 . In this paper, we prove that every graph G∈ ∪ ℓ≥3Gℓ is 4-colourable. © 2023, The Author(s), under exclusive licence to Springer Nature Japan KK, part of Springer Nature.

Keyword:

Chromatic number Girth Odd hole

Community:

  • [ 1 ] [Lan K.]Center for Discrete Mathematics, Fuzhou University, Fujian, 350003, China
  • [ 2 ] [Liu F.]Department of Mathematics, East China Normal University, Shanghai, 200241, China

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Source :

Graphs and Combinatorics

ISSN: 0911-0119

Year: 2023

Issue: 6

Volume: 39

0 . 6

JCR@2023

0 . 6 0 0

JCR@2023

JCR Journal Grade:3

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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