Relation between hyper-Wiener and Wiener index

被引：61
|
作者：
Gutman, I [1 ]
机构：
[1] Univ Kragujevac, Fac Sci, YU-34000 Kragujevac, Yugoslavia
来源：
CHEMICAL PHYSICS LETTERS | 2002年 / 364卷 / 3-4期
关键词：
D O I：
10.1016/S0009-2614(02)01343-X
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
An identity between the hyper-Wiener index (WW) and the Wiener index (4 of a tree is deduced, showing that these two molecular-structure-descriptors are more intimately connected than earlier believed. Let T be a tree on n vertices and e be its edge. Let T-1 (e) and T-2(e) be the components of the disconnected graph obtained by deleting e from T. Then WW(T) = (n/2)W(T) - (1/2) Sigma(e) [W(T-1(e)) + W(T-2(e))] with the summation embracing all edges of T. (C) 2002 Published by Elsevier Science B.V.
引用
收藏
页码：352 / 356
页数：5
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