The Multiplicative Version of the Wiener Index

Ivan Gutman, Wolfgang Linert, I. Lukovits, Željko Tomović

Research output: Contribution to journalArticle

50 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
Publication statusPublished - Jan 2000

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Alkanes
Paraffins

ASJC Scopus subject areas

  • Chemistry(all)
  • Computational Theory and Mathematics
  • Computer Science Applications
  • Information Systems

Cite this

The Multiplicative Version of the Wiener Index. / Gutman, Ivan; Linert, Wolfgang; Lukovits, I.; Tomović, Željko.

In: Journal of Chemical Information and Computer Sciences, Vol. 40, No. 1, 01.2000, p. 113-116.

Research output: Contribution to journalArticle

Gutman, I, Linert, W, Lukovits, I & Tomović, Ž 2000, 'The Multiplicative Version of the Wiener Index', Journal of Chemical Information and Computer Sciences, vol. 40, no. 1, pp. 113-116.
Gutman, Ivan ; Linert, Wolfgang ; Lukovits, I. ; Tomović, Željko. / The Multiplicative Version of the Wiener Index. In: Journal of Chemical Information and Computer Sciences. 2000 ; Vol. 40, No. 1. pp. 113-116.
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