First-fit chromatic numbers of d-degenerate graphs

被引：4
|
作者：
Chang, Gerard Jennhwa [1 ,2 ,3 ]
Hsu, Hsiang-Chun [1 ]
机构：
[1] Natl Taiwan Univ, Dept Math, Taipei 10617, Taiwan
[2] Natl Taiwan Univ, Taida Inst Math Sci, Taipei 10617, Taiwan
[3] Taipei Off, Natl Ctr Theoret Sci, Taipei, Taiwan
来源：
DISCRETE MATHEMATICS | 2012年 / 312卷 / 12-13期
关键词：
First-fit chromatic number; Grundy number; d-degenerate graph; OCHROMATIC NUMBERS; INDUCTIVE GRAPHS; GRUNDY; EQUALITY; ONLINE;
D O I：
10.1016/j.disc.2012.03.029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The first-fit chromatic number of a graph is the number of colors needed in the worst case of a greedy coloring. In this short note, we first give counterexamples to some results by Balogh eta). (2008) [1], and then prove that every n-vertex d-degenerate graph has first-fit chromatic number at most log(d+1/d) n + 2. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：2088 / 2090
页数：3
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