On geometric-arithmetic index

On geometric-arithmetic index
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DOI:
10.1007/s10910-009-9603-8
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发表时间:
2010-02
影响因子:
1.7
通讯作者:
Yan Yuan;Bo Zhou;N. Trinajstic
Yan Yuan;Bo Zhou;N. Trinajstic
中科院分区:
化学3区
文献类型:
--
作者:
Yan Yuan;Bo Zhou;N. Trinajstic

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几何算术(GA)指数是数理化学中新提出的一种图形不变量。利用分子图的顶点数和边数,给出了遗传算法指标的上下界。我们还确定了具有最小、第二和第三最小以及第二和第三最大遗传算法指标的当时顶点分子树。
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 then-vertex molecular trees with the minimum, the second and the third minimum, as well as the second and the third maximum GA indices.