几类化学图的基于距离的拓扑指标
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摘要
在化学图论中,基于距离的拓扑指标是很重要的一类.该文主要讨论了4个基于距离的拓扑指标,Wiener指标,Hyper-Wiener指标,Harary指标和RCW指标,并总结推导出了Pn,硅酸盐链和n长Kn链关于上述4个指标的计算公式.
In chemical graphic theory,certain types of topological indices play an important role.This paper discusses four topological indexes based on distance mainly.They are Wiener index,Hyper-Wiener index,Harary index and RCW index,respectively,and the formulas of Pn,silicate chain and nlong Kn chain for the calculation of the above four indexes are summarized.
In chemical graphic theory,certain types of topological indices play an important role.This paper discusses four topological indexes based on distance mainly.They are Wiener index,Hyper-Wiener index,Harary index and RCW index,respectively,and the formulas of Pn,silicate chain and nlong Kn chain for the calculation of the above four indexes are summarized.
引文
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[10]Ivanciuc O,Balaban T S,Balaban A T.Design of topological indices.Part 4.Reciprocal distance matrix,related local vertex invariants and topological indices[J].Journal of Mathematical Chemistry,1993,12(1):309-318.
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[12]Entringer R C,Jackson D E,Snyder D A.Distance in graphs[J].Czechoslovak Mathematical Journal,1976,26(2):283-296.
[13]Hayat S,Imran M.Computation of topological indices of certain networks[J].Applied Mathematics Computation,2014,240(4):213-228.
[2]Bondy J A,Murtywrited U S R.Graph Theory with Applications[M].The Macmillan Press Ltd,1976,28(1):237-238.
[3]Harary F.Graph theory[M].Addison-Wesley,1969.67-128.
[4]Wiener H.Structural determination of paraffin boiling points[J].Journal of the American Chemical Society,1947,69(1):17-20.
[5]Dobrynin A A,Entringer R,Gutman I.Wiener Index of Trees:Theory and Applications[J].Acta Applicandae Mathematica,2001,66(3):211-249.
[6]Eliasi M,Raeisi G,Taeri B.Wiener index of some graph operations[M].Elsevier Science Publishers B V,2012.
[7]Randic M.Novel molecular descriptor for structure-property studies[J].Chemical Physics Letters,1993,211(4-5):478-483.
[8]Mihalic Z,Trinajstic N.A graph-theoretical approach to structure-property relationships[J].Journal of Chemical Education,1992,69(9):701.
[9]Plav2i D,Nikoli S,Trinajsti N,et al.On the Harary index for the characterization of chemical graphs[J].Journal of Mathematical Chemistry,1993,12(1):235-250.
[10]Ivanciuc O,Balaban T S,Balaban A T.Design of topological indices.Part 4.Reciprocal distance matrix,related local vertex invariants and topological indices[J].Journal of Mathematical Chemistry,1993,12(1):309-318.
[11]Ivanciuc O.QSAR comparative study of Wiener descriptors for weighted molecular graphs[J].Journal of Chemical Information Computer Sciences,2000,40(6):1412.
[12]Entringer R C,Jackson D E,Snyder D A.Distance in graphs[J].Czechoslovak Mathematical Journal,1976,26(2):283-296.
[13]Hayat S,Imran M.Computation of topological indices of certain networks[J].Applied Mathematics Computation,2014,240(4):213-228.