On geometric-arithmetic index

被引：94

作者：

Yuan, Yan ^{[1
]}

Zhou, Bo ^{[1
]}

Trinajstic, Nenad ^{[2
]}

机构：

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

[2] Rugjer Boskovic Inst, Zagreb 10002, Croatia

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2010年 / 47卷 / 02期

关键词：

Geometric-arithmetic index; Molecular graphs; Molecular trees; Degree (of vertex);

D O I：

10.1007/s10910-009-9603-8

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

The geometric-arithmetic (GA) index is a newly proposed graph invariant in mathematical chemistry. We give the lower and upper bounds for GA index of molecular graphs using the numbers of vertices and edges. We also determine the n-vertex molecular trees with the minimum, the second and the third minimum, as well as the second and the third maximum GA indices.

引用

页码：833 / 841

页数：9

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