Important mathematical structures of the topological index Z for tree graphs

被引：12

作者：

Hosoya, Haruo ^{[1
]}

机构：

[1] Ochanomizu Univ, Bunkyo Ku, Tokyo 1128610, Japan

来源：

JOURNAL OF CHEMICAL INFORMATION AND MODELING | 2007年 / 47卷 / 03期

关键词：

D O I：

10.1021/ci6004756

中图分类号：

R914 [药物化学];

学科分类号：

100701 ;

摘要：

Mathematical importance of the topological index, Z(G), or the so-called Hosoya index is stressed by presenting and giving supporting evidence for the proposed conjecture. That is, for a given pair of positive integers (n(1)< n(2)) which are prime with each other there exists a series of Z-trees {G(m)} of the property, Z(G(m)) = Z(G(m-1)) + Z(G(m-2)) (m >= 3), with Z(G(1)) = n(1) and Z(G(2)) = n(2).

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页码：744 / 750

页数：7

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