The maximum atom-bond connectivity index for graphs with edge-connectivity one

The maximum atom-bond connectivity index for graphs with edge-connectivity one
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边连通性为 1 的图的最大原子键连通性指数

DOI:
10.1016/j.dam.2016.12.011
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发表时间:
2017-03
影响因子:
1.1
通讯作者:
Zhong Lingping
Zhong Lingping
中科院分区:
数学3区
文献类型:
--
作者:
Cui Qing;Qian Qiuping;Zhong Lingping

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The atom-bond connectivity (A B C) index of a graph G is defined as the sum of the weights d (u)+ d (v)− 2 d (u) d (v) of all edges u v of G, where d (u) denotes the degree of a vertex u in G. In this short note, we determine the maximum A B C index for graphs with edge-connectivity one and characterize the corresponding extremal graphs. This answers a recent question proposed by Zhang et al.(2016).
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