期刊文献+

关于双圈图的Harary指数 被引量:2

On the Harary Index of Bicyclic Graphs
下载PDF
导出
摘要 一个连通图G的Harary指数定义为图G中所有点对的距离的倒数之和.本文主要研究双圈图去掉一条割边或添加一条边后其Harary指数的上界问题,并刻画了达到上界的极值图. The Harary index of a graph is defined as the sum of reciprocals of distances over all pairs of vertices .This paper gives an upper bound for the Harary index of bicyclic graphs and respectively charac-terizes the extreme graphs attaining the upper bound .
作者 邢抱花
出处 《菏泽学院学报》 2015年第5期14-16,共3页 Journal of Heze University
基金 安庆师范学院青年科研基金项目(KJ201309)
关键词 双圈图 割边 Harary指数 bicyclic graphs cutting edge the Harary index
  • 相关文献

参考文献8

  • 1Plavi D, Nikoli S, Trinajstin,etal. On the Harary index for the characterization of chemical graphs[J]. Math Chem, 1993, 12 : 235-250.
  • 2Ivanciuc O, Balaban S T, Balaban T A. Reciprocal diatance matrix, related local vertex invariants and topological indices [J]. Math Chem, 1993,12.. 309-318.
  • 3Bondy A, Mmurty U S R. Graph Theory with Application[M]. New York.. Macmillan Press, 1976.
  • 4K. Xu, N. Trinajstic. Hyper-Wiener and Harary indices of graphs with cut edges[J]. Util. Math. , 2011,84.-153-163.
  • 5K. Xu. Trees with the seven smallest and eight greatest Harary indices [J]. Discrete Applied Mathematics, 2012,160 (3) .. 321-331.
  • 6K. Xu, K. C: Das. Extremal Unicyclic and Bicyclic Graphs with Respect to Harary Index[J]. Bull. Malays. Math. Sci. Soc (2) ,2013,36(2) :373-383.
  • 7李小新,查淑萍,范益政.连通图的Harary指数上界及其极图[J].中国科学技术大学学报,2014,44(2):96-100. 被引量:3
  • 8肖金环,赵飚.固定直径的树的Harary指数[J].曲阜师范大学学报(自然科学版),2014,40(3):30-34. 被引量:2

二级参考文献30

  • 1Ivanciuc O,Balaban T S,Balaban A T.Reciprocal distance matrix,related local vertex invariants and topological indices[J].J Math Chem,1993,12:309-318.
  • 2Plav(c)si(c) D,Nikoli(c) S,Trinajsti(c) N,et al.On the Harary index for the characterization of chemical graphs[J].J Math Chem,1993,12:235-250.
  • 3Diudea M V.Indices of reciprocal properties or Harary indices[J].J Chem Inf Comput Sci,1997,37:292-299.
  • 4Estrada E,Rodriguez L.Matrix algebraic manipulation of molecular graphs.2.Harary-and MTI-like molecular descriptors[J].MATCH Commun Math Comput Chem,1997,35:157-167.
  • 5HeC X,Chen P,Wu BF.The Harary index of a graph under perturbation[J].Discrete Math Alg Appl,2010,2:247-255.
  • 6Lu(c)i(c) B,Mili(c)evi(c) A,Nikoli(c) S,et al.Harary indextwelve years later[J].Croat Chem Acta,2002,75:847-868.
  • 7Zhou B,Cai X,Trinajsti(c) N.On Harary index[J].J Math Chem,2008,44:611-618.
  • 8Wiener H.Structural determination of paraffin boiling point[J].J Amer Chem Soc,1947,69:17-20.
  • 9Xu K X,Das K C.On Harary index of graphs[J].Discrete Appl Math,2011,159:1 631-1 640.
  • 10Das K C,Zhou B,Trinajsti(c) N.Bounds on Harary index[J].J Math Chem,2009,46:1 369-1 376.

共引文献3

同被引文献3

引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部