The multiplicative version of the Wiener index

被引:56
作者
Gutman, I
Linert, W
Lukovits, I
Tomovic, Z
机构
[1] Hungarian Acad Sci, Chem Res Ctr, H-1525 Budapest, Hungary
[2] Univ Kragujevac, Fac Sci, YU-34000 Kragujevac, Yugoslavia
[3] Vienna Univ Technol, A-1060 Vienna, Austria
来源
JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES | 2000年 / 40卷 / 01期
关键词
D O I
10.1021/ci990060s
中图分类号
O6 [化学];
学科分类号
0703 [化学];
摘要
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, pi(G), equal to the product of distances between all pairs of vertexes of G. The basic properties of the pi index are established and its possible physicochemical applications examined. In the case of alkanes, pi and W are highly correlated; a slightly curvilinear correlation exists between In pi and W.
引用
收藏
页码:113 / 116
页数:4
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