2014•Shuxue de shijian yu renshiRequires access

Adjacent Vertex-distinguishing V-total Coloring of Several Categories of Corona Graphs

LU Yong-hon

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Abstract

In this paper,the adjacent vertex-distinguishing V-total coloring of C_m ? P_n and P_m ·C_n are obtained by constructing coloring function.Through the adjacent vertexdistinguishing V-total coloring of P_m ? C_n,we skilfully get the adjacent vertex-distinguishing V-total coloring of C_m·C_n,and obtain the adjacent vertex-distinguishing V-total chromatic number of those graphs.Further,the conjecture of adjacent vertex-distinguishing V-total coloring of graphs is checked.

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In this paper,the adjacent vertex-distinguishing V-total coloring of C_m ? P_n and P_m ·C_n are obtained by constructing coloring function.Through the adjacent vertexdistinguishing V-total coloring of P_m ? C_n,we skilfully get the adjacent vertex-distinguishing V-total coloring of C_m·C_n,and obtain the adjacent vertex-distinguishing V-total chromatic number of those graphs.Further,the conjecture of adjacent vertex-distinguishing V-total coloring of graphs is checked.

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Available abstract

In this paper,the adjacent vertex-distinguishing V-total coloring of C_m ? P_n and P_m ·C_n are obtained by constructing coloring function.Through the adjacent vertexdistinguishing V-total coloring of P_m ? C_n,we skilfully get the adjacent vertex-distinguishing V-total coloring of C_m·C_n,and obtain the adjacent vertex-distinguishing V-total chromatic number of those graphs.Further,the conjecture of adjacent vertex-distinguishing V-total coloring of graphs is checked.

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

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