2009•Journal of North University of ChinaRequires access

Research on Adjacent Vertex Distinguishing Total Coloring of a Class of 1-Tree Graph

Xiaoling Sun

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Abstract

On the basis of the adjacent vertex distinguishing total chromatic number of the tree and 1-cycle graph,the adjacent vertex distinguishing total coloring of a class of 1-tree graph was mainly discussed by using the structure analysis and mathematical induction.The adjacent vertex distinguishing total chromatic number of a class of 1-tree graph is obtained.

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On the basis of the adjacent vertex distinguishing total chromatic number of the tree and 1-cycle graph,the adjacent vertex distinguishing total coloring of a class of 1-tree graph was mainly discussed by using the structure analysis and mathematical induction.The adjacent vertex distinguishing total chromatic number of a class of 1-tree graph is obtained.

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Available abstract

On the basis of the adjacent vertex distinguishing total chromatic number of the tree and 1-cycle graph,the adjacent vertex distinguishing total coloring of a class of 1-tree graph was mainly discussed by using the structure analysis and mathematical induction.The adjacent vertex distinguishing total chromatic number of a class of 1-tree graph is obtained.

Key concepts: Combinatorics, Fractional coloring, Vertex (graph theory), Windmill graph, Mathematics, Graph, Circulant graph, Brooks' theorem

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