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List Colouring When The Chromatic Number Is Close To the Order Of The Graph.

Authors :
Bruce Reed*
Benny Sudakov†
Source :
Combinatorica; Dec2004, Vol. 25 Issue 1, p117-123, 91p
Publication Year :
2004

Abstract

Ohba has conjectured [7] that if G has 2 <subscript>?</subscript>( G)+1 or fewer vertices then the list chromatic number and chromatic number of G are equal. In this short note we prove the weaker version of the conjecture obtained by replacing 2 <subscript>?</subscript>( G)+1 by $$ \frac{5} {3}\chi {\left( G \right)} - \frac{4} {3}. $$ [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02099683
Volume :
25
Issue :
1
Database :
Complementary Index
Journal :
Combinatorica
Publication Type :
Academic Journal
Accession number :
16658858