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author:

Chen, R. (Chen, R..) [1] | Lan, K. (Lan, K..) [2] | Zhou, Y. (Zhou, Y..) [3]

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Scopus

Abstract:

A house is the graph that consists of an induced 4-vertex cycle and a single vertex with precisely two adjacent neighbors on the cycle. The Borodin–Kostochka Conjecture states that for each graph G with Δ(G)≥9, we have χ(G)≤max{Δ(G)−1,ω(G)}. We show that this conjecture holds for {P2∪P3,house}-free graphs. © 2023 Elsevier B.V.

Keyword:

Chromatic number Forbidden induced subgraphs Perfect graphs

Community:

  • [ 1 ] [Chen R.]Center for Discrete Mathematics, Fuzhou University, Fujian, 350003, China
  • [ 2 ] [Lan K.]Center for Discrete Mathematics, Fuzhou University, Fujian, 350003, China
  • [ 3 ] [Zhou Y.]Center for Discrete Mathematics, Fuzhou University, Fujian, 350003, China

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Source :

Discrete Applied Mathematics

ISSN: 0166-218X

Year: 2024

Volume: 342

Page: 12-18

1 . 0 0 0

JCR@2023

Cited Count:

WoS CC Cited Count: 3

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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