A TIGHT BOUND ON THE SET CHROMATIC NUMBER

被引：2
|
作者：
Sereni, Jean-Sebastien [1 ]
Yilma, Zelealem B. [2 ]
机构：
[1] Univ Diderot, LORIA, CNRS, Nancy, France
[2] Addis Ababa Univ, Dept Math, Addis Ababa, Ethiopia
来源：
DISCUSSIONES MATHEMATICAE GRAPH THEORY | 2013年 / 33卷 / 02期
关键词：
chromatic number; set coloring; set chromatic number; neighbor; distinguishing coloring;
D O I：
10.7151/dmgt.1679
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide a tight bound on the set chromatic number of a graph in terms of its chromatic number. Namely, for all graphs G, we show that chi(s)(G) equal to or greater than inverted right perpendicularlog(2) chi(G)inverted left perpendicular + 1, where chi(s)(G) and chi(G) are the set chromatic number and the chromatic number of G, respectively. This answers in the affirmative a conjecture of Gera, Okamoto, Rasmussen and Zhang.
引用
收藏
页码：461 / 465
页数：5
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