Bounds for the Schultz Molecular Topological Index of Benzenoid Systems in Terms of the Wiener Index | Zendy

Iván Gutman | Zendy; Sandi Klavžar | Zendy

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Bounds for the Schultz Molecular Topological Index of Benzenoid Systems in Terms of the Wiener Index

Author(s) -

Iván Gutman,

Sandi Klavžar

Publication year - 1997

Publication title -

journal of chemical information and computer sciences

Language(s) - English

Resource type - Journals

eISSN - 1520-5142

pISSN - 0095-2338

DOI - 10.1021/ci9700034

Subject(s) - topological index , wiener index , index (typography) , bounded function , mathematics , combinatorics , computer science , mathematical analysis , graph , world wide web

Let MTI and W be the Schultz molecular topological index and the Wiener index, respectively, of a benzenoid system. It has been shown previously [Klavžar, S.; Gutman, I. J. Chem. Inf. Comput. Sci. 1996, 36, 1001−1003] that MTI is bounded as 4W < MTI < 6.93 W. We now improve this result by deducing the estimates 4W + λ1W2/3 + λ2W1/3 − 15 < MTI < 6W + λ3 W2/5 − λ4 W1/6 where λ1 = 4.400, λ2 = 1.049, λ3 = 14.760, and λ4 = 17.739.

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