2003
DOI: 10.2298/jsc0305401g
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Wiener-type indices and internal molecular energy

Abstract: In earlier studies it was established that internal molecular energies (Eint) of alkanes can be reproduced, in an approximate yet reliable manner by means of a molecular-graph-based structure-descriptor U. It was also established that U is linearly correlated with the Wiener index W. We now show that the correlation between U and W is more complicated than earlier expected, and that it cannot be represented by a single line. We also show that a very good linear correlation exists between U and a modified versi… Show more

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Cited by 12 publications
(8 citation statements)
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“…Formula (5) was reported earlier (for details and further references see [7,33]), but was deduced by a completely different way of reasoning.…”
Section: Corollary 11 For Any Connected N-vertex Graph N ≥ 2 the mentioning
confidence: 93%
See 1 more Smart Citation
“…Formula (5) was reported earlier (for details and further references see [7,33]), but was deduced by a completely different way of reasoning.…”
Section: Corollary 11 For Any Connected N-vertex Graph N ≥ 2 the mentioning
confidence: 93%
“…The Laplacian spectral theory is a well elaborated part of algebraic graph theory and its details can be found in numerous reviews, for instance in [27,30,31]. Concerning chemical applications of Laplacian spectra see [32,33].…”
Section: On Laplacian Spectral Theorymentioning
confidence: 99%
“…The Wiener index of a molecular graph G represents the sum of topological distances between all pairs of atoms/vertices of G. Details on the Wiener index can be found in [17][18][19][20].…”
Section: Definitions and Preliminariesmentioning
confidence: 99%
“…According to the Kel'mans theorem [20,27,28], the coefficients c k s of µ(T , x) satisfy the following:…”
Section: It Is Well Known That the Adjacency Matrix Of S(t ) Denotedmentioning
confidence: 99%