A Sufficient Condition for Planar Graphs of Maximum Degree 6 to be Totally 7-Colorable

A total k-coloring of a graph is an assignment of k colors to its vertices and edges such that no two adjacent or incident elements receive the same color. The total coloring conjecture (TCC) states that every simple graph G has a total ΔG+2-coloring, where ΔG is the maximum degree of G. This conjec...

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Bibliographic Details
Main Authors: Enqiang Zhu, Yongsheng Rao
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2020/3196540

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