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    Cyclic Chromatic Number

    Definition

    A cyclic coloring of a planar embedding is a vertex coloring such that vertices incident with the same face have distinct colors. The minimum number of colors in a cyclic coloring of a graph is called the cyclic chromatic number of the graph, variously denoted χ_c (Plummer and Toft 1987, Zlámalová 2010) or χ^c .