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DP-coloring for planar graphs of diameter two

2019/10/23 by Qi, Jingran, Huang, Danjun, Wang, Weifan +1
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1910.10312

Abstract

DP-coloring (also known as correspondence coloring) is a generalization of list coloring introduced by Dvourák and Postle (2017). Recently, Huang et al. [https://doi.org/10.1016/j.amc.2019.124562] showed that planar graphs with diameter at most two are 4-choosable. In this paper, we will prove that planar graphs with diameter at most two are DP-4-colorable, which is an extension of the above result.

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