The multiplicative version of the Wiener index

Authors
Gutman, I Linert, W Lukovits, I Tomovic, Z
Citation
I. Gutman et al., The multiplicative version of the Wiener index, J CHEM INF, 40(1), 2000, pp. 113-116
Citations number
33
Categorie Soggetti
Chemistry
Journal title
JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES
ISSN journal
00952338 → ACNP
Volume
40
Issue
1
Year of publication
2000
Pages
113 - 116
Database
ISI
SICI code
0095-2338(200001/02)40:1<113:TMVOTW>2.0.ZU;2-C
Abstract
The classical Wiener index, W(G), is equal to the sum of the distances betw een all pairs of vertexes of a (molecular) graph, G. We now consider a rela ted topological index, pi(G), equal to the product of distances between all pairs of vertexes of G. The basic properties of the pi index are establish ed and its possible physicochemical applications examined. In the case of a lkanes, pi and W are highly correlated; a slightly curvilinear correlation exists between In pi and W.