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author:

Lan, Kaiyang (Lan, Kaiyang.) [1] | Liu, Feng (Liu, Feng.) [2]

Indexed by:

Scopus SCIE

Abstract:

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.

Keyword:

Chromatic number Girth Odd hole

Community:

  • [ 1 ] [Lan, Kaiyang]Fuzhou Univ, Ctr Discrete Math, Fujian 350003, Peoples R China
  • [ 2 ] [Liu, Feng]East China Normal Univ, Dept Math, Shanghai 200241, Peoples R 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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