On the vertex-distinguishing proper total colorings of several classes of complete p-partite graphs with equipotent parts

In this paper, we discuss the vertex-distinguishing proper total colorings of several classes of complete p-partite graphs with equipotent parts. We denote by K(p × q) the complete p-partite graph with cardinality q of each part. By constructing coloring in terms of the symmetry of regular polygons...

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Hauptverfasser: Fang Yang, Xiang-en Chen, Chunyan Ma, Bing Yao
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description In this paper, we discuss the vertex-distinguishing proper total colorings of several classes of complete p-partite graphs with equipotent parts. We denote by K(p × q) the complete p-partite graph with cardinality q of each part. By constructing coloring in terms of the symmetry of regular polygons and the methods of combinatorial analysis, we will obtain vertex-distinguishing proper total chromatic numbers for K(p × q) when q = 2, 3, 4, 5, respectively.
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subjects Clocks
Color
Educational institutions
Electronic mail
Graph theory
Information processing
Intelligent control
title On the vertex-distinguishing proper total colorings of several classes of complete p-partite graphs with equipotent parts
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