The Multiplicative Version of the Wiener Index

Ivan Gutman; Wolfgang Linert; István Lukovits; Željko Tomović

doi:10.1021/ci990060s

The Multiplicative Version of the Wiener Index

Ivan Gutman
, Wolfgang Linert
, István Lukovits
, Željko Tomović

Research output: Contribution to journal › Article › Academic › peer-review

66 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 language	English
Pages (from-to)	113-116
Number of pages	4
Journal	Journal of Chemical Information and Computer Sciences
Volume	40
Issue number	1
DOIs	https://doi.org/10.1021/ci990060s
Publication status	Published - 1 Jan 2000
Externally published	Yes

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10.1021/ci990060s

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AB - 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.

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The Multiplicative Version of the Wiener Index

Abstract

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