Title
Every planar graph without 4-cycles adjacent to two triangles is DP-4-colorable.
Abstract
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].
Year
DOI
Venue
2019
10.1016/j.disc.2018.10.025
Discrete Mathematics
Keywords
Field
DocType
DP-coloring,planar graph,discharging
Discrete mathematics,Combinatorics,Mathematics,Planar graph
Journal
Volume
Issue
ISSN
342
3
0012-365X
Citations 
PageRank 
References 
1
0.36
5
Authors
2
Name
Order
Citations
PageRank
Runrun Liu185.29
Xiangwen Li211121.01