On the multiplicative Wiener index and its possible chemical applications

被引：16

作者：

Gutman I. ^{[1
]}

Linert W. ^{[2
]}

Lukovits I. ^{[3
]}

Tomović Z. ^{[1
]}

机构：

[1] Institute of Inorganic Chemistry, Technical University of Vienna

[2] Chemical Research Center

来源：

Monatshefte fur Chemie | 2000年 / 131卷 / 05期

关键词：

Chemical graph theory; Multiplicative Wiener index; Topological index; Wiener index;

D O I：

10.1007/PL00010312

中图分类号：

学科分类号：

摘要：

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 ∼ CW2/3 approaches asymptotically In W, with C being a constant depending on the particular homologous series considered.

引用

页码：421 / 427

页数：6

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