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图P2n的邻点可区别I-全染色
引用本文:丁丹军.图P2n的邻点可区别I-全染色[J].咸阳师范专科学校学报,2013(6):15-17.
作者姓名:丁丹军
作者单位:连云港师范高等专科学校数学与信息工程学院,江苏连云港222000
基金项目:连云港师范高等专科学校科研基金项目(LYGSZ13035).
摘    要:图的染色是图论中非常重要的研究课题,图的染色的基本问题即是确定各种染色法的色数.图G的邻点可区别I-全染色是一个新的染色概念,对二幂图P2n的邻点可区别I-全染色问题进行了研究,从其结构特点出发,运用构造法和色调整技术,给出了P2n的邻点可区别I-全染色法,得到了P2n的邻点可区别I-全染色数.

关 键 词:幂图  邻点可区别I-全染色  邻点可区别I-全色数

Adjacent Vertex-distinguishing I-total Coloring of P2n
DING Dan-jun.Adjacent Vertex-distinguishing I-total Coloring of P2n[J].Journal of Xianyang Teachers College,2013(6):15-17.
Authors:DING Dan-jun
Institution:DING Dan-jun (School of Mathematics and Information Engineering, Lianyungang Teacher's College, Lianyungang 222000, Jiangsu,China)
Abstract:The graph coloring problem is an important research subject in graph theory. The criti- cal problem of graph coloring is to acquire the chromatic number of kinds of coloring methods. The ad- jacent vertex-distinguishing/-total coloring of the two power graph of Path( p Z ) is discussed based on the structure of P~, and the adjacent vertex-distinguishing/-total chromatic number of pZ is con- firmed by the methods of construction and coloring adjustmention.
Keywords:/-total coloring  adjacent vertex-distinguishing/-total coloring  adjacent vertex-distin-guishing/-total chromatic number
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