2009Journal of Shandong University of TechnologyRequires access

On the adjacent vertex distinguishing total coloring of p_m×K_(n,n)

Jianwei Du

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Abstract

Based on the study of the structure of productgraph,this paper mainly discusses the adjacent vertex distinguishing total coloring of pm×Kn,n to resolve the algorithm of the chromatic number of a graph.The adjacent vertex distinguishing total chromatic number of pm×Kn,n is obtained by using analysis method.

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What this paper is about

Based on the study of the structure of productgraph,this paper mainly discusses the adjacent vertex distinguishing total coloring of pm×Kn,n to resolve the algorithm of the chromatic number of a graph.The adjacent vertex distinguishing total chromatic number of pm×Kn,n is obtained by using analysis method.

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Available abstract

Based on the study of the structure of productgraph,this paper mainly discusses the adjacent vertex distinguishing total coloring of pm×Kn,n to resolve the algorithm of the chromatic number of a graph.The adjacent vertex distinguishing total chromatic number of pm×Kn,n is obtained by using analysis method.

Key concepts: Total coloring, Fractional coloring, Vertex (graph theory), Combinatorics, Chromatic scale, Brooks' theorem, Complete coloring, Mathematics

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