2012Journal of Wuyi UniversityRequires access

Adjacent Vertex Distinguishing Total Coloring of k_4-minor-free Graphs

Wan Hui-min

Open publisher page 9 citations

Abstract

A proper total coloring of graph G is called adjacent vertex distinguishing if the color sets of every two adjacent vertices are different.The paper determines the adjacent vertex distinguishing total chromatic numbers of k4-minor-free graphs.

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A proper total coloring of graph G is called adjacent vertex distinguishing if the color sets of every two adjacent vertices are different.The paper determines the adjacent vertex distinguishing total chromatic numbers of k4-minor-free graphs.

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Available abstract

A proper total coloring of graph G is called adjacent vertex distinguishing if the color sets of every two adjacent vertices are different.The paper determines the adjacent vertex distinguishing total chromatic numbers of k4-minor-free graphs.

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

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