2012Journal of Shandong UniversityRequires access

On vertex-distinguishing-equitable total coloring of mycielski graphs

YE Jian-hua

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Abstract

Vertex-distinguishing-equitable total coloring(VDETC) of some mycielski graphs was studied,and obtained the vertex-distinguishing-equitable total chromatic numbers of mycielski graphs of path,cycle,star and fan by using constructive method,which satisfy the conjecture on VDETC.

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Vertex-distinguishing-equitable total coloring(VDETC) of some mycielski graphs was studied,and obtained the vertex-distinguishing-equitable total chromatic numbers of mycielski graphs of path,cycle,star and fan by using constructive method,which satisfy the conjecture on VDETC.

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Available abstract

Vertex-distinguishing-equitable total coloring(VDETC) of some mycielski graphs was studied,and obtained the vertex-distinguishing-equitable total chromatic numbers of mycielski graphs of path,cycle,star and fan by using constructive method,which satisfy the conjecture on VDETC.

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

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