2012Journal of Jilin University(Science Edition)Requires access

Vertex Distinguishing Total Chromatic Number of mC_3

Yao Bing

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Abstract

On the basis of definition of μ(G),we got the lower bound of vertex-distinguishing total chromatic number of vertex disjoint mC3(m≥2),and then gave the concrete vertex- distinguishing total coloring of vertex disjoint mC3(m≥2) with the help of matrix. Furthermore,we have obtained its vertex-distinguishing total chromatic number.

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On the basis of definition of μ(G),we got the lower bound of vertex-distinguishing total chromatic number of vertex disjoint mC3(m≥2),and then gave the concrete vertex- distinguishing total coloring of vertex disjoint mC3(m≥2) with the help of matrix. Furthermore,we have obtained its vertex-distinguishing total chromatic number.

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Available abstract

On the basis of definition of μ(G),we got the lower bound of vertex-distinguishing total chromatic number of vertex disjoint mC3(m≥2),and then gave the concrete vertex- distinguishing total coloring of vertex disjoint mC3(m≥2) with the help of matrix. Furthermore,we have obtained its vertex-distinguishing total chromatic number.

Key concepts: Combinatorics, Disjoint sets, Chromatic scale, Vertex (graph theory), Mathematics, Fractional coloring, Discrete mathematics, Graph

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