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树的星边染色 被引量:12

Star edge coloring of tree
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摘要 研究了树的星边染色,确定了两类特殊树的星边色数,并得到了一般树的星边色数的一个可达上界。 The star edge coloring of tree is studied, the star chromatic index of two kinds of special trees is obtained, and an attainable upper bound of star chromatic index of tree is proved.
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2011年第8期84-88,共5页 Journal of Shandong University(Natural Science)
基金 甘肃省自然科学基金资助项目(3ZS051-A25-025) 国家民委科研资助项目(10XB01)
关键词 星边染色 星边色数 完全 n-叉树 star edge coloring star chromatic index complete n-ary tree tree
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参考文献7

  • 1刘信生,邓凯.最大度不小于7的图的星边色数的一个上界[J].兰州大学学报(自然科学版),2008,44(2):98-99. 被引量:29
  • 2杨玉红,刘信生,陈祥恩.联图P_m∨P_n的星边染色[J].西北师范大学学报(自然科学版),2008,44(6):26-28. 被引量:9
  • 3BONDY J A, MURTY U S R. Graph theory with applications[M]. London: The Macmillan Press LTD,1976.
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二级参考文献12

  • 1陈祥恩,张忠辅.P_m∨P_n的邻点可区别全染色[J].西北师范大学学报(自然科学版),2005,41(1):13-15. 被引量:27
  • 2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:98
  • 3Liu Xinsheng,Chen Xiang'en,Ou Lifeng.A LOWER BOUND ON COCHROMATIC NUMBER FOR LINE GRAPHS OF A KIND OF GRAPHS[J].Applied Mathematics(A Journal of Chinese Universities),2006,21(3):357-360. 被引量:8
  • 4刘信生,邓凯.I(C_n)的圆色数[J].兰州大学学报(自然科学版),2006,42(5):109-112. 被引量:4
  • 5GUILLAUME Fertin, ANDRE Raspaud, BRUCE Reed. Star coloring of graphs[J]. Graph Theory, 2004, 47(3): 163-182.
  • 6BONDY J A, MURTY U S R. Graph theory with applications[M]. London: The Macmillan Press LTD, 1976.
  • 7MICHAEL Molloy, BRUCE Reed. A bound on the strong chromatic index of a graph[J]. Combinatorial Theory Series B, 1997, 69(2): 103-109.
  • 8MICHAEL Molloy, BRUCE Reed. Graph coloring and the probabilistic method[M]. New York, Berlin, Heidelberg: Spring-Verlag, 2002.
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  • 10ERDOS P, Lovlsz L. Problems and results on 3-chromatic hypergraphs and some related questions[M]//HAJNAL A, Soos V T, LASZIO Lovasz, et al. Infinite and finite sets Vol 11. Amsterdam: North-Holland, 1975: 609-627.

共引文献28

同被引文献49

  • 1杨玉红,刘信生,陈祥恩.联图P_m∨P_n的星边染色[J].西北师范大学学报(自然科学版),2008,44(6):26-28. 被引量:9
  • 2刘西奎,王雅琴.几类冠图的邻强边色数[J].山东科技大学学报(自然科学版),2006,25(4):101-103. 被引量:10
  • 3Grunbaum B. Acyclic colourings of planar graphs[J]. Isreal J Math, 1973, 14(3): 390-408.
  • 4Guillaume F, Andre R, Bruce Reed. Star coloring of graphs[J]. J Graph Theory, 2004, 47(3): 163-182.
  • 5Bondy J A, Murty U S R. Graph Theory with Applications[M]. London: The Macmillan Press LTD, 1976.
  • 6GR~INBAUM B. Acyclic colourings of planar graphs[J]. Isreal J Math, 1973, 14(3): 390-408.
  • 7FERTIN G, RASPAUD A, REED B. Star coloring of graphs[J]. J Graph Theory, 2004, 47(3): 163-182.
  • 8BONDY J A, MURTY U S R. Graph Theory with Applications[M]. London: Macmillan Press, 1976.
  • 9Grunbaum B. Acyclic colourings of planar graphs[J]. Isreal J. Math, 1973, 14(3): 390-408.
  • 10Fertin G, Raspaud A, Reed B. Star coloring of graphs[J]. Journal of Graph Theory, 2004, 47(3): 163-182.

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