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On the complete chromatic number of Halin graphs
Authors:Zhongfu Zhang  Linzhong Liu
Institution:(1) Department of Basic Courses, Lanzhou Railway Institute, 730070 Lanzhou, China
Abstract:LetG be a planar graph with delta(G)ge3,f 0 be a face ofG. In this paper it is proved that for any Halin graph with Delta(G)ge6,x c (G)=Delta(G)+1, where Delta(G),x c (G) denote the maximum degree and the complete chromatic number ofG, respectively.This research is supported by the National Natural Science Foundation of China.Write.
Keywords:Halin graph  complete chromatic number
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