On reciprocal reverse Wiener index

被引：6

作者：

Zhou, Bo ^{[1
]}

Yang, Yong ^{[2
]}

Trinajstic, Nenad ^{[3
]}

机构：

[1] S China Normal Univ, Dept Math, Guangzhou 510631, Guangdong, Peoples R China

[2] Foshan Univ, Dept Math, Foshan 528000, Guangdong, Peoples R China

[3] Rugjer Boskovic Inst, Zagreb 10002, Croatia

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2010年 / 47卷 / 01期

关键词：

Wiener index; Reciprocal reverse Wiener index; Distance; Diameter; Molecular graph; MOLECULAR-ORBITALS; GRAPH-THEORY;

D O I：

10.1007/s10910-009-9543-3

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

We report some properties, especially bounds for the reciprocal reverse Wiener index of a connected (molecular) graph. We find that the reciprocal reverse Wiener index possesses the minimum values for the complete graph in the class of n-vertex connected graphs and for the star in the class of n-vertex trees, and the maximum values for the complete graph with one edge deleted in the class of n-vertex connected graphs and for the tree obtained by attaching a pendant vertex to a pendant vertex of the star on n - 1 vertices in the class of n-vertex trees. These results are compared with those obtained for the ordinary Wiener index.

引用

页码：201 / 209

页数：9

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