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五边形链的Merrifield-Simmons指标 被引量:1

The Merrifield-SimmonsIndex of Pentagonal Chains
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摘要 五边形链是一类由若干个五边形构成的连通图.文章主要研究了按1-位和2-位两种特殊联接的五边形链W1n和W2n的Merrifield-Simmons指标,并给出了相应的递推公式. Pentagonal chains is a kind of connected graph that consists of several pentagons. Merrifield - Simmons index of two special pentagonal chains Wn^1and Wn^2. were discussed in this article by way-1 and way-2 connected, The recurrence formulas are given.
作者 刘睿琳 田双亮 田文文 LIU Rui-lin TIAN Shuang-liang TIAN Wen-wen(Mathematics and Computer Science College, Northwest University for Nationalities, Lanzhou 730030, Chin)
出处 《西北民族大学学报(自然科学版)》 2016年第2期1-5,共5页 Journal of Northwest Minzu University(Natural Science)
基金 国家民委科研项目(14XBZ018) 甘肃省自然科学基金(145RJZA158) 西北民族大学中央高校基本科研业务费专项资金资助研究生项目(Yxm2015182)
关键词 五边形链 MERRIFIELD-SIMMONS指标 递推公式 Pentagonal chains Merrifield-Simmons index Recurrence formula
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参考文献8

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二级参考文献15

  • 1BONDY J A, MURTY U S R.Graph theory with applications [ M ].New York : The Macmillan Press, 1976.
  • 2HOSOYA H.Topological index [ J ]. Bull Chem Soc Japan, 1971,44: 2332-2339.
  • 3MERRFIELD R E, SIMMONS H E.Topological Methods in Chemistry[ M] .New York:Wiley, 1989.
  • 4GUTMAN I, POLANSKY O E.Mathematical Concepts in Organic Chemistry[ M ] .Berlin:Springer, 1986.
  • 5GUTMAN I, CYVIN S J.Introduction to the Theory of Benzenoid Hydrocarbons [ M ].Berlin: Springer, 1989.
  • 6WAGNER S,GUTMAN I.Maxima and minima of the Hosoya Index and the Merrifield-Simmons index[ J] .Acta Appl Math.2010, 112: 323-346.
  • 7Bondy J A,Murty U S R. Graph Theory with Applications[M].New York:The Macmil-lan Press,1976.
  • 8Hosoya H. Topological index[J].{H}Bulletin of the Chemical Society of Japan,1971,(44):2332-2339.
  • 9Gutman I,Polansky O E. Mathematical Concepts in Organic Chemistry[M].{H}Berlin:Springer-Verlag,1986.
  • 10Wagner S,Gutman I. Maxima and minima of the Hosoya index and the Merrifield-Simmons index[J].{H}ACTA APPLICANDAE MATHEMATICAE,2010,(112):323-346.

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