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math.CO2022
1-planar graphs are odd 13-colorable
Runrun Liu, Weifan Wang, Gexin Yu
An odd coloring of a graph is a proper coloring such that any non-isolated vertex in has a coloring appears odd times on its neighbors. The odd chromatic number, denoted by…
math.CO2022
The strong chromatic index of 1-planar graphs
Yiqiao Wang, Ning Song, Jianfeng Wang +1
The chromatic index of a graph is the smallest for which admits an edge -coloring such that any two adjacent edges have distinct colors. The strong chromatic…