### Abstract

The recently introduced multiplicative Wiener index π is a molecular structure descriptor equal to the product of the distances between all pairs of vertices of the underlying molecular graph. It was expected that π has a different structure dependency than the ordinary Wiener index W which is equal to the sum of vertex distances. We now show that this is not the case: for a variety of classes of isomeric alkanes, monocycloalkanes, bicycloalkanes, benzenoid hydrocarbons, and phenylenes a very good (either linear or slightly curvilinear) correlation between π and W is found. For homologous series, the relation between π and W happens to be somewhat less simple. For alkanes, Inπ ∼ CW^{2/3} approaches asymptotically In W, with C being a constant depending on the particular homologous series considered.

Original language | English |
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Pages (from-to) | 421-427 |

Number of pages | 7 |

Journal | Monatshefte fur Chemie |

Volume | 131 |

Issue number | 5 |

DOIs | |

Publication status | Published - Jan 1 2000 |

### Keywords

- Chemical graph theory
- Multiplicative Wiener index
- Topological index
- Wiener index

### ASJC Scopus subject areas

- Chemistry(all)

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## Cite this

*Monatshefte fur Chemie*,

*131*(5), 421-427. https://doi.org/10.1007/PL00010312