Zig-zag facial total-coloring of plane graphs

Július Czap, Stanislav Jendrol′, Margit Voigt · Opuscula Mathematica · 2018

In this paper we introduce the concept of zig-zag facial total-coloring of plane graphs.We obtain lower and upper bounds for the minimum number of colors which is necessary for such a coloring.Moreover, we give several sharpness examples and formulate some open problems.

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