Total Colorings of Embedded Graphs with No 3-Cycles Adjacent to 4-Cycles

A total-k-coloring of a graph G is a coloring of V ∪ E using k colors such that no two adjacent or incident elements receive the same color. The total chromatic number χ′′(G) of G is the smallest integer k such that G has a total-k-coloring. Let G be a graph embedded in a surface of Euler characteri...

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Bibliographic Details
Main Authors: Wang Bing, Wu Jian-Liang, Sun Lin
Format: Article
Language:English
Published: Sciendo 2018-11-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:http://www.degruyter.com/view/j/dmgt.2018.38.issue-4/dmgt.2058/dmgt.2058.xml?format=INT