Some recent results in the theory of the Wiener number
Some recent results in the theory of the Wiener number
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发表时间：
1993-08
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通讯作者：
I. Gutman;Y. Yeh;Shyi-Long Lee;Yeung-Long Luo
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作者：
I. Gutman;Y. Yeh;Shyi-Long Lee;Yeung-Long Luo
维纳数(W)等于分子图中所有顶点对之间的距离之和。这一重要的拓扑指标是在20世纪40年代发明的，但对其理论和应用的热烈讨论仍在继续。本文的目的是概述维纳数理论的艺术状态，重点是在过去几年中取得的进展。特别地，我们提出了(a)关于W与分子间力之间关系的最新结果（这首次为W的各种应用提供了良好的物理化学基础），(b)计算W的几种新技术，(c)计算复合和高支化分子图W的方法，(d) W的异构体简并问题，以及(e)与W理论相关的一些新的数学结果
The Wiener number (W) is equal to the sum of distances between all pairs of verticesbt the molecular graph. This important topological index was invented in the 194Os,but vigorous ~ch on both its theory and its applications is still going on. The aim of this article is to outline the state of the art of the theory of the Wiener number, with emphasis on the progress achieved in the last few years. In particular, we present (a) the recent results on the relation between W and intermolecular forces (which, for the first time, provide a sound physico-chemical basis for various applications of W), (b) several novel techniques for the calculation of W, (c) methods for the calculation of W of composite and highly branched molecular graphs, (d) the problem of isomer degeneracy of W, and (e)some novel mathematical results relevant to the theory of W. •