TY - JOUR ID - Czap2018 LB - Czap2018 AU - Czap, Július AU - Jendroľ, Stanislav AU - Voigt, Margit TI - Zig-zag facial total-coloring of plane graphs ST - Zig-zag facial total-coloring of plane graphs JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2018 VL - 38 IS - 6 SP - 819 EP - 827 DO - https://doi.org/10.7494/OpMath.2018.38.6.819 UR - https://doi.org/10.7494/OpMath.2018.38.6.819 AB - 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. KW - plane graph KW - facial coloring KW - total-coloring KW - zig-zag coloring SN - 1232-9274 ER -