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一类特殊双圈图关于Merrifield-Simmons指标和Hosoya指标的排序

Orderings of a Class of Special Bicyclic Graphs with Respect to Merrifield-Simmons Indices and Hosoya Indices
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摘要 研究了一类双圈图B k的Merrifield-Simmons和Hosoya指标,根据C m和C n之间的一条公共路P k,给出了该类双圈图关于这两种指标的排序. The Merrifield-Simmons index and Hosoya index of the class of bicyclic graphs Bk are investigated, and then their orderings with respect to these two indices are obtained according to the common road Pk be- tween Cm and Cn .
作者 张静 田文文 田双亮
机构地区 西北民族大学数学与计算机科学学院
出处 《鲁东大学学报（自然科学版）》 2014年第1期4-6,共3页 Journal of Ludong University:Natural Science Edition
基金 西北民族大学科研创新项目资助研究生项目(ycx13168) 西北民族大学中央高校科研专项资金资助研究生项目(ycx13160)
关键词 双圈图 MERRIFIELD-SIMMONS指标 HOSOYA指标 排序 bicyclic graph Merrifield-Simmons index Hosoya index order
分类号 O157.5 [理学—基础数学]
  • 相关文献

参考文献11

  • 1Merrifield R E,Simmons H E. Topological Methods in Chemistry[M].New York:John Wiley & Sons,1989.
  • 2Hosoya H. Topological index.A newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons[J].Bulletin of the Chemical Society of Japan,1971,(09):2332-2339.
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  • 5Deng Hanyuan,Chen Shubo,Zhang Jie. The Merrifield-Simmons index in (n,n + 1)-graphs[J].Journal of Mathematical Chemistry,2008,(01):75-91.
  • 6Deng Hanyuan. The smallest Merrifield-Simmons index of (n,n + 1)-graphs[J].Mathematical and Computer Modelling,2009,(1/2):320-326.
  • 7Deng Hanyuan. The smallest Hosoya index in (n,n + 1)-graphs[J].Journal of Mathematical Chemistry,2008,(01):119-133.
  • 8Xu Kexiang,Gutman I. The greatest Hosoya index of bicyclic graphs with given maximum degree[J].MATCH Commun Math Comput Chem,2011.795-824.
  • 9Lv Xuezheng,Yan Yan,Yu Aimei. Ordering trees with given pendent vertices with respect to Merrifield-Simmons indices and Hosoya indices[J].Journal of Mathematical Chemistry,2010,(01):11-20.
  • 10周旭冉,王力工.一类双圈图的两种指标的排序[J].山东大学学报（理学版）,2011,46(11):44-47. 被引量：11

二级参考文献16

  • 1BONDY J A, MURTY U S R. Graph theory with applications[M]. New York: The Macmillan Press, 1976.
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  • 4GUTMAN I, POLANSKY O E. Mathematical concept in organic chemistry[M]. Berlin: Springer, 1986.
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  • 7DENG Hanyuan, CHEN Shubo. The extremal uncyclic graphs with respect to Hosoya index and Merrifield-Simmons index [J]. MATCH Commun Math Comput Chem, 2008, 59 : 171-190.
  • 8DENG Hanyuan. The largest Hosoya index of ( n, n + 1 ) graphs[J]. Comput Math Appl, 2008, 56:2499-2506.
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  • 10XU Kexiang, GUTMAN I. The greatest Hosoya index of bicyclic graphs with given maximum degree [J]. MATCH Commun Math Comput Chem, 2011, 66 (3) :795-824.

共引文献10

鲁东大学学报（自然科学版）
2014年 第1期

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