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某类联图中保Wiener指数的树 被引量：5

Preserving Wiener Index Trees in One Classes of Join Graph
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摘要 Wiener指数是指一个连通图中所有顶点之间的距离之和。给定一个连通图G,若存在G中一棵子树T,使得W(G)=W(T),则称T为G的一棵保Wiener指数的树,本文给出了对于满足特定条件的某类m+2k阶联图中均有保Wiener指数的子树。 The Wiener index W is the sum of distances among all pairs of vertices of a connected graph. Given a connected graph G , if there is a subtree T of G such that W（G） =W（T） , then we call T a preserving the Wiener index tree of G. In the paper, some subtrees which preserving the Wiener index in some classes of join graph of order m±2k with some specific conditions are given.
作者 邢抱花 潘向峰
机构地区 安庆师范学院数学与计算科学学院 安徽大学数学与计算科学学院
出处 《安庆师范学院学报（自然科学版）》 2008年第1期3-5,共3页 Journal of Anqing Teachers College(Natural Science Edition)
关键词 WIENER指数 树 距离 Wiener index tree distance
分类号 O157.5 [理学—基础数学]
  • 相关文献

参考文献10

  • 1H. Wiener. Structural determination of paraffin boiling points[J]. J. Amer Chem Soc. , 1947 (69) :17-20.
  • 2H. Hosoya. Topological index: a newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons[J]. Bull Chem Soc Jpn, 1971 (4):2 332-2 339.
  • 3F. Bonchev, F. Harary. Distance in graphs[M]. Redwood:Addison Wesley, 1990.
  • 4J. A. Bondy and U. S. R. Murty. Graph Theory with Applications[M]. Macmillan, London, 1976.
  • 5A . Dobrynin,R. Entringer and I. Gutman. Wiener index of trees:theory and applications[J]. Acta Appl. Math. , 2001 (66):211- 249.
  • 6A. Dobrynin,I. Gutman,S. Klavzar and P. Zigert. Wiener index of hexagonal systems[M]. Acta Appl. Math. ,2002 (72):247-294.
  • 7I. Gutman,J. H. Potgieter. Wiener index and intermolecular forces[J]. J. Serb. Chem. Soc. , 1997 (62) :185-192.
  • 8I. Gutman,Y. N. Yeh,S. H. Lee,etal. Some recent results in the theory of the Wiener number[J]. J. Indian Chem. , 1993 (32A) :651-661.
  • 9S. Nikolic,N. Trinajstic,Z. Mihalic. The Wiener index:developments and applications[J]. Croat Chem. Acta. ,1995 (68):105-129.
  • 10邓汉元,王红专.轮形图中保Wiener指数的树[J].湖南师范大学自然科学学报,2005,28(4):1-4. 被引量：7

二级参考文献8

  • 1BONCHEV F, HARARY F. Distance in graphs[ M]. Redwood: Addison Wesley, 1990.
  • 2WIENER H. Structural determination of paraffin tzoiling points[ J]. J Amer Chem Soc, 1947,69: 17-20.
  • 3HOSOYA H. Topological index:a newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons[J]. Bull Chem Soc Jpn, 1971,4:2332-2339.
  • 4DOBRYNIN A A, ENTRINGER R, GUTMAN I. Wiener index of trees: theory and applications[ J]. Acta Appl Math, 2001,66:211-249.
  • 5DOBRYNIN A A, GUTMAN I, KEAVZAR S, et al. Wiener index of hexagonal systems[ J]. Acta Appl Math, 2002,72 : 247-294.
  • 6GUTMAN I, POTGIETER J H. Wiener index and intermolecular forces[J]. J Serb Chem Soc, 1997,62: 185-192.
  • 7GUTMAN I, YEH Y N, LEE S H, et al. Some recent results in the theory of the Wiener number[J]. Indian J Chem, 1993,32A:651-661.
  • 8NIKOLIC S, TRINAJSTIC N, MIHALIC Z. The Wiener index : developments and applications[ J ]. Croat Chem Acta, 1995,68 : 105-129.

共引文献6

同被引文献44

  • 1Chen YanDept.of Math.,Zhejiang Education Institute,Hangzhou 310012,China..PROPERTIES OF SPECTRA OF GRAPHS AND LINE GRAPHS[J].Applied Mathematics(A Journal of Chinese Universities),2002,17(3):371-376. 被引量：9
  • 2郭晓峰,董哈微.树按Wiener指标的排序[J].厦门大学学报（自然科学版）,2005,44(3):297-298. 被引量：2
  • 3邓汉元,王红专.轮形图中保Wiener指数的树[J].湖南师范大学自然科学学报,2005,28(4):1-4. 被引量：7
  • 4徐幼专,徐立新.扇形图P_1∨P_m中保Wiener指数的树[J].郑州大学学报（理学版）,2006,38(3):32-34. 被引量：6
  • 5陈升平.由C_6覆盖的环状纤维管的Wiener指数[J].湖南师范大学自然科学学报,2006,29(3):32-35. 被引量：2
  • 6Wiener H. Structural determination of paraffin boiling point [J]. J Amer Chem Soc, 1947, 69:17-20.
  • 7Hosoya H. Topological index: a newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons [J]. J Bull Chem Soc, 1971, 4:2332-2339.
  • 8Dobrynin A, Entringer R, Gutman I. Wiener index of trees: Theory and applications [J]. Acta Appl Math, 2001, 66:211-249.
  • 9Dobrynin A, Gutman I, Klavzar S, et al. Wiener index of hexagonal systems [J]. Acta Appl Math, 2002, 72: 247- 294.
  • 10Gutman I, Yeh YN, Lee SL, Chen JC. Some recent results in the theory of the Wiener number [J].Indian J Chem, 1993, A32:651-661.

引证文献5

二级引证文献7

安庆师范学院学报（自然科学版）
2008年 第1期

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