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Adjacent vertex distinguishing total colorings of outerplanar graphs. (English) Zbl 1216.05039
Summary: An adjacent vertex distinguishing total coloring of a graph $$G$$ is a proper total coloring of $$G$$ such that any pair of adjacent vertices are incident to distinct sets of colors. The minimum number of colors required for an adjacent vertex distinguishing total coloring of $$G$$ is denoted by $$\chi ^{\prime\prime}_{a }(G)$$. In this paper, we characterize completely the adjacent vertex distinguishing total chromatic number of outerplanar graphs.

##### MSC:
 05C15 Coloring of graphs and hypergraphs
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##### References:
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