The Multiplicative Version of the Wiener Index

Ivan Gutman, Wolfgang Linert, István Lukovits, Željko Tomović

Research output: Contribution to journalArticleAcademicpeer-review

54 Citations (Scopus)

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, π(G), equal to the product of distances between all pairs of vertexes of G. The basic properties of the π index are established and its possible physicochemical applications examined. In the case of alkanes, π and W are highly correlated; a slightly curvilinear correlation exists between ln π and W.

Original languageEnglish
Pages (from-to)113-116
Number of pages4
JournalJournal of Chemical Information and Computer Sciences
Volume40
Issue number1
DOIs
Publication statusPublished - 1 Jan 2000
Externally publishedYes

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