2012•Mechanical Management and DevelopmentRequires access

On the Adjacent Vertex Distinguishing Total Coloring of Two Special Graphs

Jianwei Du

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Abstract

Based on the study of the structure of graph,the paper mainly discusses the adjacent vertex distinguishing total coloring of two special graphs to resolve the algorithm of the chromatic number of a graph. It's proved by using analysis method and mathematical induction. The adjacent vertex distinguishing total chromatic number of two special graphs is obtained.

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What this paper is about

Based on the study of the structure of graph,the paper mainly discusses the adjacent vertex distinguishing total coloring of two special graphs to resolve the algorithm of the chromatic number of a graph. It's proved by using analysis method and mathematical induction. The adjacent vertex distinguishing total chromatic number of two special graphs is obtained.

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Available abstract

Based on the study of the structure of graph,the paper mainly discusses the adjacent vertex distinguishing total coloring of two special graphs to resolve the algorithm of the chromatic number of a graph. It's proved by using analysis method and mathematical induction. The adjacent vertex distinguishing total chromatic number of two special graphs is obtained.

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

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