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完美匹配单圈图的hyper-Wiener指标

Hyper-Wiener index of unicyclic graphs with perfect matchings
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摘要 通过对连通图hyper-Wiener指标性质的研究,讨论了u+(2n)中hyper-Wiener指标的最小值,得到了达到最小hyper-Wiener指标的完美匹配单圈图的极图,并提出了关于hyper-Wiener指标的1个猜想. Some properties on the hyper-Wiener index of can be used to determine the graph with minimum hyper-Wie connected graphs are explored. These results ner index among all graphs in u＋ （2n） . More- over,one comjecture on hyper-Wiener index of graphs is promoted.
作者 侯远 郑艺容
机构地区 福州大学至诚学院 厦门理工学院应用数学学院
出处 《河北大学学报（自然科学版）》 CAS 北大核心 2014年第2期113-117,共5页 Journal of Hebei University(Natural Science Edition)
基金 国家青年自然科学基金资助项目(11101345) 福建省教育厅A类项目(JA11293) 厦门理工学院科研基金资助项目(xkjj201106)
关键词 hyper-Wiener指标 完美匹配 单圈图 hyper-Wiener index perfect matchings unicyclic graphs
分类号 O157.6 [理学—基础数学]
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参考文献10

  • 1DOBRYNIN A A,GUTMAN I, KLAVZAR S, et al. Wiener index of hexagonal systems [J]. Aeta Appl Math, 2002,72: 247 - 294.
  • 2KLAVZAR S,ZIGERT P,GUTMAN I. An algorithm for the calculation of the hyper-Wiener index of benzenoid hydro- carbons [J]. Comput Chem, 2000,24 : 299 - 233.
  • 3KLEIN D J,LUKOVITS I. On the definition of the hyper-Wiener index for cycleeontaining structures [-J~. J Chem Inf Comput Sci,1995,35:50 - 52.
  • 4GUTMAN I. Relation between hyper-Wiener and Winer index[-J~. Chem Phys Lett, 2002,364 : 352 - 356.
  • 5ZHOU Bo,GUTMAN I. Relations between Wiener, hyper-Wiener and Zagreb indices [J]. Chem Phys Lett, 2004,394: 93-95.
  • 6KHALIFEH M H, YOUSEFI- AZARI H, ASHRAFI A R. The hyper-Wiener index of graph operations EJ~. Comput Math Appl,2008,56 : 1402 - 1407.
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  • 9侯远.单圈图的hyper-Wiener指标(英文)[J].数学研究,2013,46(2):142-150. 被引量：3
  • 10侯远.完美匹配树的hyper-Wiener指标[J].闽江学院学报,2013,34(2):10-12. 被引量：1

二级参考文献14

  • 1Cash G G. Polynomial expressions for the hyper-Wiener index of extended hydrocarbon networks [ J ], Comput Chem, 2001 (25) : 577 - 582.
  • 2Wiener H. Structural determination of paraffin boiling points [ J ]. Amer Chem Soc, 1947 (69) :17 -20.
  • 3Deng H. On the extremal Wiener polarity index of chemical trees[ J]. MATCH Commun Math Comput Chem,2011 (66): 305 -314.
  • 4Klein D J, Lukovits I. On the definition of the hyper-Wiener index for cycle-containing structures [ J ]. Chem Inf Comput Sci, 1995 (35) :50 -52.
  • 5Gutman I, Relation between hyper-Wiener and Wiener index [ J ]. Chem Plays Lett,2002 (364) :352 - 356.
  • 6Zhou B, Gutman I. Relations between Wiener, hyper-Wiener and Zagreb indices [ J ]. Chem Phys Lett, 2004 (394) :93 -95.
  • 7Khalifeh M H, Yousefi-Azari H, Ashrafi A R. The hyper-Wiener index of graph operations[J]. Comput Math Appl, 2008(56) : 1 402 - 1 407.
  • 8Dobrynin A A, Gutman I, Klavzar S, et al. Wiener index of hexagonal systems. Acta Appl Math, 2002, 72: 247-294.
  • 9Klavzar S, Zigert P, Gutman I. An algorithm for the calculation of the hyper-Wiener index of benzenoid hydrocarbons. Comput Chern, 2000, 24: 229-233.
  • 10Klein D J, Lukovits I. On the definition of the hyper-Wiener index for cycle-containing structures. J Chern Inf Comput Sci, 1995, 35: 50-52.

共引文献2

河北大学学报（自然科学版）
2014年 第2期

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