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

来源：

| 2017年 / Brown University卷 / 21期

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

页码：1091 / 1105

页数：14

共 50 条

[31] Equitable colorings of Kronecker products of graphs
Lin, Wu-Hsiung
Chang, Gerard J.
DISCRETE APPLIED MATHEMATICS, 2010, 158 (16) : 1816 - 1826
[32] Equitable colorings of Cartesian products of graphs
Lin, Wu-Hsiung
Chang, Gerard J.
DISCRETE APPLIED MATHEMATICS, 2012, 160 (03) : 239 - 247
[33] EQUITABLE COLORINGS OF CORONA MULTIPRODUCTS OF GRAPHS
Furmanczyk, Hanna
Kubale, Marek
Mkrtchyan, Vahan V.
DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2017, 37 (04) : 1079 - 1094
[34] Equitable colorings of bounded treewidth graphs
Bodlaender, HL
Fomin, FV
MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE 2004, PROCEEDINGS, 2004, 3153 : 180 - 190
[35] K4-minor-free图的邻点可区别全染色
史小艺
张宁
万慧敏
五邑大学学报(自然科学版), 2012, 26 (04) : 9 - 13
[36] On equitable and equitable list colorings of series-parallel graphs
Zhang, Xin
Wu, Jian-Liang
DISCRETE MATHEMATICS, 2011, 311 (10-11) : 800 - 803
[37] Equitable Edge-Colorings of Simple Graphs
Zhang, Xia
Liu, Guizhen
JOURNAL OF GRAPH THEORY, 2011, 66 (03) : 175 - 197
[38] On r-equitable colorings of bipartite graphs
Ma, Jiaqiang
Zhou, Renfeng
Deng, Xue
Wang, Chenggang
Zhang, Xin
UTILITAS MATHEMATICA, 2017, 103 : 161 - 165
[39] Equitable and List Equitable Colorings of Graphs with Bounded Maximum Average Degree
Dong, Aijun
Zou, Qingsong
Li, Guojun
ARS COMBINATORIA, 2016, 124 : 303 - 311
[40] Domination of maximal K4-minor free graphs and maximal K2,3-minor free graphs, and disproofs of two conjectures on planar graphs
Zhu, Tingting
Wu, Baoyindureng
DISCRETE APPLIED MATHEMATICS, 2015, 194 : 147 - 153

← 1 2 3 4 5 →