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Every planar graph without 4-cycles adjacent to two triangles is DP-4-colorable

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成果类型:
期刊论文
作者:
Liu, Runrun*;Li, Xiangwen
通讯作者:
Liu, Runrun
作者机构:
[Liu, Runrun; Li, Xiangwen] Cent China Normal Univ, Dept Math & Stat, Wuhan 430079, Hubei, Peoples R China.
通讯机构:
[Liu, Runrun] C
Cent China Normal Univ, Dept Math & Stat, Wuhan 430079, Hubei, Peoples R China.
语种:
英文
关键词:
DP-coloring;planar graph;discharging
期刊:
Discrete Mathematics
ISSN:
0012-365X
年:
2019
卷:
342
期:
3
页码:
623-627
基金类别:
The second author was supported in part by the NSFC ( 11728102 ) and the NSFC ( 11571134 ).
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
Wang and Lih (2002) conjectured that every planar graph without adjacent triangles is 4-choosable. In this paper, we prove that every planar graph without any 4-cycle adjacent to two triangles is DP-4-colorable, which improves the results of Lam et al. (1999), Cheng et al. (2016) and Kim and Yu [arXiv:1709.09809v1]. (C)...

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