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Extracting List Colorings from Large Independent Sets.

Authors :
Kierstead, H. A.
Rabern, Landon
Source :
Journal of Graph Theory. Nov2017, Vol. 86 Issue 3, p315-328. 14p.
Publication Year :
2017

Abstract

We take an application of the Kernel Lemma by Kostochka and Yancey [11] to its logical conclusion. The consequence is a sort of magical way to draw conclusions about list coloring (and online list coloring) just from the existence of an independent set incident to many edges. We use this to prove an Ore-degree version of Brooks' Theorem for online list-coloring. The Ore-degree of an edge [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03649024
Volume :
86
Issue :
3
Database :
Academic Search Index
Journal :
Journal of Graph Theory
Publication Type :
Academic Journal
Accession number :
125070897
Full Text :
https://doi.org/10.1002/jgt.22128