The connective eccentricity index of graphs and its applications to octane isomers and benzenoid hydrocarbons
The connective eccentricity index of graphs and its applications to octane isomers and benzenoid hydrocarbons
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图的连接偏心率指数及其在辛烷异构体和苯烃类中的应用
DOI：
10.1002/qua.26334
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发表时间：
2020-07-02
影响因子：
2.2
通讯作者：
Zhang, Minjie
中科院分区：
文献类型：
--
作者：
Wang, Guangfu;Yan, Lixia;Zhang, Minjie
图G的连通偏心指数(CEI)定义为X_(Ee)G=n元求和XY是E_(G1)E_x+1 e G_y的一个元素，其中e_g(G)(.)表示相应顶点的偏心率。CEI具有一种有影响力的能力，这是由于它对药物性质的估计。本文首先刻画了具有给定直径的k-连通图(k-连通二部图)中关于CEI的极图。然后，确定了具有给定连通度和最小度(独立数)的图的CEI的精确上界。最后，我们计算了两组分子图的CEI：辛烷异构体和苯系烃。我们通过它们与化学性质的相关性，将它们的CEI与其他一些基于距离的拓扑指数进行了比较。CEI的线性模型优于或与其他基于距离的指数对应的模型一样好。
The connective eccentricity index (CEI) of a graphGis defined as xi ee G= n-ary sumation xy is an element of EG1 epsilon Gx+1 epsilon Gy, where epsilon(G)(.) denotes the eccentricity of the corresponding vertex. The CEI obligates an influential ability, which is due to its estimating pharmaceutical properties. In this paper, we first characterize the extremal graphs with respect to the CEI amongk-connected graphs (k-connected bipartite graphs) with a given diameter. Then, the sharp upper bound on the CEI of graphs with given connectivity and minimum degree (independence number) is determined. Finally, we calculate the CEI of two sets of molecular graphs: octane isomers and benzenoid hydrocarbons. We compare their CEI with some other distance-based topological indices through their correlations with the chemical properties. The linear model for the CEI is better than or as good as the models corresponding to the other distance-based indices.