A Note on Circular Chromatic Number of Graphs with Large Girth and Similar Problems

被引：1

作者：

Nesetril, Jaroslav ^{[1
]}

de Mendez, Patrice Ossona ^{[2
,3
]}

机构：

[1] Charles Univ IUUK & ITI, Inst Comp Sci, Prague 11800 1, Czech Republic

[2] CNRS, Ctr Anal & Math Sociales, UMR 8557, F-75013 Paris, France

[3] Charles Univ IUUK, Comp Sci Inst, Prague 11800 1, Czech Republic

来源：

JOURNAL OF GRAPH THEORY | 2015年 / 80卷 / 04期

关键词：

subjclass[2010]05C99 (Graph theory);

D O I：

10.1002/jgt.21849

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this short note, we extend the result of Galluccio, Goddyn, and Hell, which states that graphs of large girth excluding a minor are nearly bipartite. We also prove a similar result for the oriented chromatic number, from which follows in particular that graphs of large girth excluding a minor have oriented chromatic number at most 5, and for the pth chromatic number p, from which follows in particular that graphs G of large girth excluding a minor have chi(p)(G) <= p+2. (C) 2014 Wiley Periodicals, Inc.

引用

页码：268 / 276

页数：9

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