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直径是3和4的n阶树的Hosoya指数的最大值 被引量:4

The Maximum Value of the Hosoya Indices of the Trees with Order n Niameter 3 or 4
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摘要 研究了直径是3及4的n阶树的Hosoya指数的最大值,并指出取得该值的图的结构. The maximum values of the Hosoya indices of the trees with order n and diameter 3 and 4 are studied in this paper. The trees of order n and diameter 3or 4 which have the maximum Hosoya indices are also characterized.
出处 《甘肃联合大学学报(自然科学版)》 2009年第3期31-34,共4页 Journal of Gansu Lianhe University :Natural Sciences
基金 国家自然科学基金(10771091) 甘肃省教育厅科研项目(0501-02)
关键词 直径 HOSOYA指数 diameter tree Hosoya index
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参考文献3

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  • 2HOSOYA H.Topological index anewly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons[J].Bull Soc Jpn.1971,44:2332-2339.
  • 3于洪全,王毅.树与森的边独立指标[J].大连理工大学学报,1997,37(5):500-503. 被引量:4

二级参考文献2

  • 1Lin S B,Chin J Math(Taiwan),1995年,23卷,3期,199页
  • 2Hong Y,Linear Algebr Its Appl,1989年,113卷,101页

共引文献3

同被引文献30

  • 1田玉芳,何中市.多重图的线图连通度[J].重庆大学学报(自然科学版),2005,28(10):94-98. 被引量:4
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  • 6YE C, WANG J F. Trees with m-matehings and the fourth and fifth minimal Hosoya index[J]. Comput Math Appl, 2008,56 (2) : 387-399.
  • 7OU J. Maximal Hosoya index and extremal acyclic molecular graphs without perfect matching[J]. Appl Math Lett,2006,19(7):652-656.
  • 8GUTMAN I, POLANSKY O E. Mathematical concepts in organic chemistry[M], Berlin: Springer, 1986.
  • 9Hosoya H. Topological index, a newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons [J]. Bull Chem Soc Jpn, 1971, 44 (09) : 2332-2339.
  • 10Gutman I, Polansky OE. Mathematical Concepts in Organic Chemistry [M]. Berlin.. Springer, 1986:1-70.

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