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完全二部图K_(2,n)和K_(3,n)的一般点可区别全染色
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  • 英文篇名:General Vertex-Distinguishing Total Colorings of Complete Bipartite Graphs K_(2,n) and K_(3,n)
  • 作者:陈祥恩 ; 苏丽 ; 王治文
  • 英文作者:CHEN Xiang'en;SU Li;WANG Zhiwen;College of Mathematics and Statistics,Northwest Normal University;School of Mathematics and Statistics,Ningxia University;
  • 关键词:完全二部图 ; 一般全染色 ; 一般点可区别全染色 ; 一般点可区别全色数
  • 英文关键词:complete bipartite graphs;;general total coloring;;general vertex-distinguishing total coloring;;general vertex-distinguishing total chromatic number
  • 中文刊名:JLDX
  • 英文刊名:Journal of Jilin University(Science Edition)
  • 机构:西北师范大学数学与统计学院;宁夏大学数学统计学院;
  • 出版日期:2016-11-26
  • 出版单位:吉林大学学报(理学版)
  • 年:2016
  • 期:v.54;No.222
  • 基金:国家自然科学基金(批准号:61163037;61163054;11261046);; 宁夏回族自治区百人计划资助项目
  • 语种:中文;
  • 页:JLDX201606019
  • 页数:5
  • CN:06
  • ISSN:22-1340/O
  • 分类号:103-107
摘要
借助已有的完全二部图K_(2,n)和K_(3,n)的点可区别IE-全色数的结论,利用组合分析及构造具体染色的方法探讨完全二部图K_(2,n)和K_(3,n)的一般点可区别全染色问题,确定了K_(2,n)和K_(3,n)的一般点可区别全色数.
        With the help of existing conclusions of vertex distinguishing IE-total colorings of complete bipartite graphs K_(2,n) and K_(3,n),we discussed the question on general vertex-distinguishing total colorings of complete bipartite graphs K_(2,n)and K_(3,n)by using the method of combinatorial analysis and constructing the specific colorings,and determined the general vertex-distinguishing total chromatic numbers of K_(2,n)and K_(3,n).
引文
[1]Harary F,Plantholt M.The Point-Distinguishing Chromatic Index[M]//Harary F,Maybee J S.Graphs and Application.New York:Wiley,1985:147-162.
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    [3]Horňak M,Sotak R.Localization of Jumps of the Point-Distinguishing Chromatic Index of Kn,n[J].Discuss Math Graph Theory,1997,17:243-251.
    [4]Horňak M,Salvi N Z.On the Point-Distinguishing Chromatic Index of Complete Bipartite Graphs[J].Ars Combin,2006,80:75-85.
    [5]CHEN Xiang’en.Point-Distinguishing Chromatic Index of the Union of Paths[J].Czechoslovak Math J,2014,64(3):620-640.
    [6]CHEN Xiang’en,GAO Yuping,YAO Bing.Vertex-Distinguishing IE-Total Colorings of Complete Bipartite Graphs Km,n(m    [7]CHEN Xiang’en,HE Wenyu,LI Zepeng,et al.Vertex-Distinguishing IE-Total Colorings of Cycles and Wheels[J].Commun Math Res,2014,30(3):222-236.
    [8]LIU Chanjuan,ZHU Enqiang.General Vertex-Distinguishing Total Colorings of Graphs[J/OL].J Appl Math,2014-08-03.http://dx.doi.org/10.1155/2014/849748.

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