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Borodin–Kostochka Conjecture Holds for Odd-Hole-Free Graphs.

Authors :
Chen, Rong
Lan, Kaiyang
Lin, Xinheng
Zhou, Yidong
Source :
Graphs & Combinatorics. Apr2024, Vol. 40 Issue 2, p1-5. 5p.
Publication Year :
2024

Abstract

The Borodin–Kostochka Conjecture states that for a graph G, if Δ (G) ≥ 9 , then χ (G) ≤ max { Δ (G) - 1 , ω (G) } . In this paper, we prove the Borodin–Kostochka Conjecture holding for odd-hole-free graphs. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09110119
Volume :
40
Issue :
2
Database :
Academic Search Index
Journal :
Graphs & Combinatorics
Publication Type :
Academic Journal
Accession number :
175379007
Full Text :
https://doi.org/10.1007/s00373-024-02753-0