A Short Proof That χ Can be Bounded ε Away from Δ + 1 toward ω

Author:

King Andrew D.1,Reed Bruce A.23

Affiliation:

1. D-WAVE SYSTEMS; BURNABY BRITISH COLUMBIA CANADA

2. SCHOOL OF COMPUTER SCIENCE; MCGILL UNIVERSITY; MONTREAL QUEBEC CANADA

3. NATIONAL INSTITUTE OF INFORMATICS; TOKYO JAPAN

Publisher

Wiley

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics

Reference11 articles.

1. Bounding χ in terms of ω and Δ for some classes of graphs;Aravind;Discrete Math,2011

2. A superlocal version of Reed's conjecture;Edwards;Electronic J Combin,2014

3. Choosability in graphs;Erdős;Congressus Numer,1980

4. A. D. King Claw-Free Graphs and Two Conjectures on ω, Δ, and χ 2009

5. Hitting all maximum cliques with a stable set using lopsided independent transversals;King;J Graph Theory,2011

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1. Large cliques in graphs with high chromatic number;Discrete Mathematics;2022-09

2. Colouring graphs with sparse neighbourhoods: Bounds and applications;Journal of Combinatorial Theory, Series B;2022-07

3. On the Nash number and the diminishing Grundy number of a graph;Discrete Applied Mathematics;2022-06

4. A Local Epsilon Version of Reed's Conjecture;Electronic Notes in Discrete Mathematics;2017-08

5. On the List Coloring Version of Reed's Conjecture;Electronic Notes in Discrete Mathematics;2017-08

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