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若干图类的一般邻点可区别全染色算法及其MATLAB实现 被引量:2

An Algorithm for the General Adjacent Vertex-distinguishing Total Coloring of Some Graph and Realization on the MATLAB
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摘要 根据路,圈,扇,轮,2-维网格的结构性质,用先确定点的色集合,再染边和点的方法,研究它们的一般邻点可区别全染色,给出与相关文献不同的证明,并讨论了这几类图的正常点色数与一般邻点可区别全色数的关系,在此基础上提出了这五类特殊图的一般邻点可区别全染色的一种算法,并用MATLAB实现. In this paper, according to the properties of path, circle, wheel, fan, 2 dimensional mesh, the general adjacent vertex-distinguishing total coloring of these graph are studied by coloring edge and vertex after the color sets were been decided, the proof are different from [7]. Base on the relationship of the proper vertex-coloring and the general adjacent vertex- distinguishing total coloring on these graph,an algorithm for the general adjacent vertex- distinguishing total coloring of these graph are presented and Realized on the MATLAB.
出处 《数学的实践与认识》 CSCD 北大核心 2013年第15期227-233,共7页 Mathematics in Practice and Theory
基金 国家自然科学基金(61163037) 陕西省教育厅专项科研项目基金(11JK0508) 2012年汉中市科技计划项目(2-2)
关键词 正常点染色 一般邻点可区别全染色 一般邻点可区别全色数 MATLAB the proper vertex-coloring the general adjacent vertex-distinguishing total col-oring the general adjacent vertex-distinguishing total chromatic number MATLAB.
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  • 1ZHANG Zhongfu,LI Jingwen,CHEN Xiang’en,YAO Bing, WANG Wenjie & QIU Pengxiang Institute of Applied Mathematic, Lanzhou Jiaotong University, Lanzhou 730070, China,College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, China,College of Information and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China.D(β)-vertex-distinguishing total coloring of graphs[J].Science China Mathematics,2006,49(10):1430-1440. 被引量:56
  • 2ZHANG Zhongfu, CHEN Xiang’en, LI Jingwen, YAO Bing, LU Xinzhong & WANG Jianfang College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, China,Department of Computer, Lanzhou Normal College, Lanzhou 730070, China,Institute of Applied Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China,College of Information and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China,Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China.On adjacent-vertex-distinguishing total coloring of graphs[J].Science China Mathematics,2005,48(3):289-299. 被引量:175
  • 3张忠辅,陈祥恩,李敬文,姚兵,吕新忠,王建方.关于图的邻点可区别全染色[J].中国科学(A辑),2004,34(5):574-583. 被引量:192
  • 4张忠辅,李敬文,陈祥恩,程辉,姚兵.图的距离不大于β的任意两点可区别的边染色[J].数学学报(中文版),2006,49(3):703-708. 被引量:96
  • 5张忠辅,李敬文,陈祥恩,姚兵,王文杰,仇鹏翔.图的距离不大于β的点可区别的全染色[J].中国科学(A辑),2006,36(10):1119-1130. 被引量:72
  • 6Balister P N, Bollobas B, Shelp R H. Vertex distinguishing coloring of graphs with A(G) = 2. Discrete Mathematics, 2002, 252: 17-29.
  • 7Zhang Zhongfu, Liu Linzhong, Wang Jianfang. Adjacent strong edge coloring of graphs. Applied Mathematics Letters, 2002, 15: 623-626.
  • 8Zhang Zhongfu. On the adjacent vertex distinguish total coloring of graphs. Science in China Ser. A, 2004, 10: 574-583.
  • 9Gyori E, Hornak M, Palmer C. General neighbour-distinguishing index of a graph. Discrete Mathematics, 2008, 308(5): 827-831.
  • 10Bondy J A, Murty U S R. Graph Theory with Applications. New York: Macmillan Press Ltd, 1976.

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