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On adjacent-vertex-distinguishing total coloring of graphs. (English) Zbl 1080.05036
Summary: We present a new concept of adjacent-vertex-distinguishing total coloring of graphs and obtain the adjacent-vertex-distinguishing total chromatic number of some graphs such as cycle, complete graph, complete bipartite graph, fan, wheel and tree.

MSC:
05C15 Coloring of graphs and hypergraphs
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