@Article{Czap2018, author = "Czap, Július and Jendroľ, Stanislav and Voigt, Margit", title = "Zig-zag facial total-coloring of plane graphs", journal = "Opuscula Math.", year = "2018", volume = "38", number = "6", pages = "819--827", doi = "https://doi.org/10.7494/OpMath.2018.38.6.819", url = "https://doi.org/10.7494/OpMath.2018.38.6.819", abstract = "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.", keywords = "plane graph, facial coloring, total-coloring, zig-zag coloring", issn = "1232-9274" }