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一类单圈图的Merrifield-Simmons指数的极值图

Extremal Graphs with Respect to Merrifield-Simmons Index of Unicyclic Graphs
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摘要 以σ=σ(G)表示Merrifield-Simmons指数,研究连接一个s-pode的单圈图的Merrifield-Simmons指数,刻画了取得极值时的极图。 The Merrifield-Simmons index σ=σ（G） of a （molecular） graph G is defined as the total number of the independent vertex sets of the graph G. This paper describes extremal graphs with respect to Merrifield-Simmons index of unicyclic graphs connected to a s-pode.
作者 王久妹
机构地区 安徽大学数学科学学院
出处 《合肥师范学院学报》 2009年第3期15-17,共3页 Journal of Hefei Normal University
关键词 MERRIFIELD-SIMMONS指数 单圈图 Merrifield-Simmons index unicyclic graph
分类号 O157.6 [理学—基础数学]
  • 相关文献

参考文献9

  • 1Merrifield R E, Simmons H E. Topological Methods in Chemistry[M]. New York: John Wiley & Sons, 1989.
  • 2H. Hosoya, Topological index, a newly proposed quntity characterizing the topological nature of structure isomers Of hydrocarbons, Bull. Chem Soc Jpo. , 1971,44: 2332-2339.
  • 3Prodinger H, Tichy R F. Fibonaeci numbers of graphs[J]. Fibonacci Quqrt, 1982,20:16-21.
  • 4Pedersen A S, Vestergaard P D. The number of independent sets in unicyclic graphs[J]. Discrete Apple Maths 2005,152: 246-256.
  • 5I. Gutman and O.E. polanskly, Mathematical Concepts in Organic Chemistry, Springer, Berlin, 1986.
  • 6Y. P. Hou, On acyclic systems with minimal Hosoya index, Discrete Appl. Math. , 2002,199 : 251-257.
  • 7肖正明.双星树的Merrifield-Simmons和Hosoya指数序[J].湖南城市学院学报（自然科学版）,2007,16(4):50-51. 被引量：5
  • 8R.E. Merrifield and H.E. Simmons, Topological Methods in Chemistry, Wiley, New York, 1989.
  • 9L. Turker, Contemplation on the Hosoya indices, Joumel of Molecular structure (Theochem), 2003,623 .. 75-76.

二级参考文献8

  • 1Bondy J A, Murty U S R. Graph theory with applications[M]. New York: The Macmillan Press, 1976.
  • 2Hosoya H. Topological index: a newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons[J]. Bull Chem Soc Jpn. 1971,44: 2322-2339.
  • 3Prodinger H, Tichy R E Fibonacci numbers of graphs[J]. Fibonaccl Quqrt, 1982, 20: 16-21.
  • 4Pedersen A S, Vestergaard P D. The number of independent sets in unicyclic graphs[J]. Discrete Appl Math 2005(152): 246-256.
  • 5Gutman I, Polansky O E. Mathematical Concepts in Organic Chemistry[M]. Berlin: Springer, 1986.
  • 6HOU Y. On acyclic systems with minimal Hosoya index[J]. Discrete Appl Math. 2002( 119): 251-257.
  • 7DENG H, CHEN S. The extremal unicyclic graphs with respect to Hosoya index and Merdfield-Simmons index[J]. MATCH Commun Math Commun Comput Chem, 2006, 59: 171-190.
  • 8Merrifield R E, Simmons H E. Topological Methods in Chemistry[M]. New York: John Wiely & Sons, 1989.

共引文献4

合肥师范学院学报
2009年 第3期

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