Equitable colorings of K4-minor-free graphs

被引:0
|
作者
de Joannis de Verclos R. [1 ]
Sereni J.-S. [2 ]
机构
[1] Laboratoire G-SCOP, C.N.R.S. et Univ. Grenoble Alpes, Grenoble
[2] Centre National de la Recherche Scientifique, CSTB (ICube), Strasbourg
关键词
D O I
10.7155/jgaa.00451
中图分类号
O144 [集合论]; O157 [组合数学(组合学)];
学科分类号
070104 ;
摘要
We demonstrate that for every positive integer ∆, every K4-minor-free graph with maximum degree ∆ admits an equitable coloring with k colors where k ≥∆+3/2. This bound is tight and confirms a conjecture by Zhang and Wu. We do not use the discharging method but rather exploit decomposition trees of K4-minor-free graphs. © 2017, Brown University. All rights reserved.
引用
收藏
页码:1091 / 1105
页数:14
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