### 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 |
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Pages (from-to) | 113-116 |

Number of pages | 4 |

Journal | Journal of Chemical Information and Computer Sciences |

Volume | 40 |

Issue number | 1 |

Publication status | Published - Jan 2000 |

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### ASJC Scopus subject areas

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

### Cite this

*Journal of Chemical Information and Computer Sciences*,

*40*(1), 113-116.

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

Research output: Contribution to journal › Article

*Journal of Chemical Information and Computer Sciences*, vol. 40, no. 1, pp. 113-116.

}

TY - JOUR

T1 - The Multiplicative Version of the Wiener Index

AU - Gutman, Ivan

AU - Linert, Wolfgang

AU - Lukovits, I.

AU - Tomović, Željko

PY - 2000/1

Y1 - 2000/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0001472226&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001472226&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001472226

VL - 40

SP - 113

EP - 116

JO - Journal of Chemical Information and Modeling

JF - Journal of Chemical Information and Modeling

SN - 1549-9596

IS - 1

ER -