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-  2015 

3-正则Halin图的完备染色
The complete coloring of 3-regular Halin graphs

DOI: 10.6040/j.issn.1671-9352.0.2014.479

Keywords: 平面图,Halin图,完备色数,完备染色,
planar graph
,Halin graph,complete coloring,complete chromatic number

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Abstract:

摘要: 研究了3-正则(或立方)Halin图的完备染色,针对非轮图的3-正则Halin图,提出了一种具体的完备染色,简单确定了非轮图(Wn)的3-正则Halin图的完备色数是6,且使得3-正则Halin图的完备染色可用计算机实现。
Abstract: The complete coloring of 3-regular Halin graphs is studied. A procedure, for completely coloring an 3-regular Halin graph which is not a wheel graph, is proposed. By this procedure, the conclusion that χC(G)=6, where G(≠W4) is a 3-regular Halin graph, can be easily obtained. Furthermore, this implies that the complete coloring of a 3-regular Halin graph can be solved by computer

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