Wang Li-l
Abstract
The combinatorial analysis method and the constructional coloring method were adopted to discuss the adjacent vertex-distinguishing E-total coloring of Wm ×Wnand obtain the adjacent vertex-distinguishing E-total chromatic number of Wm×Wn,which further validated the adjacent vertex distinguishing E-total coloring conjecture.
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The combinatorial analysis method and the constructional coloring method were adopted to discuss the adjacent vertex-distinguishing E-total coloring of Wm ×Wnand obtain the adjacent vertex-distinguishing E-total chromatic number of Wm×Wn,which further validated the adjacent vertex distinguishing E-total coloring conjecture.
Key concepts: Fractional coloring, Combinatorics, Total coloring, Vertex (graph theory), Complete coloring, Conjecture, Brooks' theorem, Mathematics