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Published in:
2007 | OriginalPaper | Chapter
The (Adjacent) Vertex-Distinguishing Total Coloring of the Mycielski Graphs and the Cartesian Product Graphs
Authors : Yanli Sun, Lei Sun
Published in: Discrete Geometry, Combinatorics and Graph Theory
Publisher: Springer Berlin Heidelberg
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The graph obtained by the famous Mycielski’s construction is called the Mycielski graph. This paper focuses on the relation between the basic graphs and two classes of constructed graphs on the (adjacent) vertex-distinguishing total coloring. And some sufficient conditions with which the Mycielski graphs and the Cartesian product graphs satisfy the adjacent vertex-distinguishing total coloring conjecture are given.