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2012•Journal of Lanzhou Jiaotong UniversityRequires access

The Adjacent Vertex Distinguishing V-total Coloring of Some Corona Graphs

Zhang Li

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Abstract

According to the structure properties of some corona graphs,the adjacent vertex distinguishing V-total chromatic number is studied by using analysis method and constructing function,obtaining the adjacent vertex V-total chromatic number of Cm·Cn,Cm·Sn,Cm·Fn and Cm·Wn.Furthermore,the adjacent vertex V-total coloring conjecture is checked.

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What this paper is about

According to the structure properties of some corona graphs,the adjacent vertex distinguishing V-total chromatic number is studied by using analysis method and constructing function,obtaining the adjacent vertex V-total chromatic number of Cm·Cn,Cm·Sn,Cm·Fn and Cm·Wn.Furthermore,the adjacent vertex V-total coloring conjecture is checked.

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Available abstract

According to the structure properties of some corona graphs,the adjacent vertex distinguishing V-total chromatic number is studied by using analysis method and constructing function,obtaining the adjacent vertex V-total chromatic number of Cm·Cn,Cm·Sn,Cm·Fn and Cm·Wn.Furthermore,the adjacent vertex V-total coloring conjecture is checked.

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

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