%0 Journal Article %T 3-正则Halin图的完备染色<br>The complete coloring of 3-regular Halin graphs %A 孟宪勇 %A 郭建华 %A 苏本堂< %A br> %A MENG Xian-yong %A GUO Jian-hua %A SU Ben-tang %J 山东大学学报(理学版) %D 2015 %R 10.6040/j.issn.1671-9352.0.2014.479 %X 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。<br>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 %K 平面图 %K Halin图 %K 完备色数 %K 完备染色 %K < %K br> %K planar graph %K Halin graph %K complete coloring %K complete chromatic number %U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2014.479