Equivalence of two conjectures on equitable coloring of graphs

被引：0
|
作者：
Bor-Liang Chen
Ko-Wei Lih
Chih-Hung Yen
机构：
[1] National Taichung Institute of Technology,Department of Business Administration
[2] Academia Sinica,Institute of Mathematics
[3] National Chiayi University,Department of Applied Mathematics
来源：
Journal of Combinatorial Optimization | 2013年 / 25卷
关键词：
Equitable coloring; Maximum coloring; -equitable graph; Maximum degree; Independence number;
D O I：
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中图分类号：
学科分类号：
摘要：
A graph G is said to be equitably k-colorable if there exists a proper k-coloring of G such that the sizes of any two color classes differ by at most one. Let Δ(G) denote the maximum degree of a vertex in G. Two Brooks-type conjectures on equitable Δ(G)-colorability have been proposed in Chen and Yen (Discrete Math., 2011) and Kierstead and Kostochka (Combinatorica 30:201–216, 2010) independently. We prove the equivalence of these conjectures.
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页码：501 / 504
页数：3
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