Differences between the list-coloring and DP-coloring for planar graphs

被引：1
|
作者：
Abe, Toshiki [1 ]
机构：
[1] Yokohama Natl Univ, Yokohama, Kanagawa, Japan
来源：
DISCRETE MATHEMATICS | 2021年 / 344卷 / 08期
关键词：
Planar graph; Coloring; List coloring; DP-coloring;
D O I：
10.1016/j.disc.2021.112471
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
DP-coloring, which was introduced by Dvorak and Postle, is an extension of list-coloring and DP-chromatic number was studied by many researchers. It is known that some of the proofs which bound list-chromatic number also work for DP-coloring. However, it seems difficult to know whether there exists a gap between the list-chromatic number and the DP-chromatic number by only studying the upper bounds of them. In this paper, we examine which types of planar graphs exist when we are given a triple (chi, chi(l), chi(DP)). (C) 2021 Elsevier B.V. All rights reserved.
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