2012•Journal of Wenzhou UniversityRequires access

Adjacent Vertex-Distinguishing E-total Coloring of Some Corona Graphs

Muchun Li

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Abstract

By using analysis method and constructing adjacent vertex-distinguishing E-total coloring function,the adjacent vertex-distinguishing E-total coloring of Cm Cn,Cm Sn,Cm Fn and Cm Wn were discussed.And the adjacent vertex-distinguishing E-total chromatic number of Corona graph about cycle and cycle(star,fan and wheel) were obtained.Then the adjacent vertex-distinguishing E-total coloring conjecture is further validated.

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What this paper is about

By using analysis method and constructing adjacent vertex-distinguishing E-total coloring function,the adjacent vertex-distinguishing E-total coloring of Cm Cn,Cm Sn,Cm Fn and Cm Wn were discussed.And the adjacent vertex-distinguishing E-total chromatic number of Corona graph about cycle and cycle(star,fan and wheel) were obtained.Then the adjacent vertex-distinguishing E-total coloring conjecture is further validated.

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Available abstract

By using analysis method and constructing adjacent vertex-distinguishing E-total coloring function,the adjacent vertex-distinguishing E-total coloring of Cm Cn,Cm Sn,Cm Fn and Cm Wn were discussed.And the adjacent vertex-distinguishing E-total chromatic number of Corona graph about cycle and cycle(star,fan and wheel) were obtained.Then the adjacent vertex-distinguishing E-total coloring conjecture is further validated.

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

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