title: The multiplicative version of the Wiener index
abstract: The classical Wiener index, W(G), is equal to the sum of the distances between all pairs of vertexes of a (molecular) graph, G. We now consider a related 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 established and its possible physicochemical applications examined. In the case of alkanes, pi and W are highly correlated; a slightly curvilinear correlation exists between In pi and W.
authors.affiliation: Faculty of Science, University of Kragujevac, Yugoslavia.
authors.initials: I
authors.lastname: Gutman
authors.initials: W
authors.lastname: Linert
authors.initials: I
authors.lastname: Lukovits
authors.initials: Z
authors.lastname: Tomovic