比较随机螺环链中原子键连接性和几何算术指数的预期值。
Comparing the excepted values of atom-bond connectivity and geometric-arithmetic indices in random spiro chains.
作者信息
Wei Shouliu, Ke Xiaoling, Hao Guoliang
机构信息
1Department of Mathematics, Minjiang University, Fuzhou, P.R. China.
College of Science, East China University of Technology, Nanchang, P.R. China.
出版信息
J Inequal Appl. 2018;2018(1):45. doi: 10.1186/s13660-018-1628-8. Epub 2018 Feb 17.
The atom-bond connectivity () index and geometric-arithmetic () index are two well-studied topological indices, which are useful tools in QSPR and QSAR investigations. In this paper, we first obtain explicit formulae for the expected values of and indices in random spiro chains, which are graphs of a class of unbranched polycyclic aromatic hydrocarbons. Based on these formulae, we then present the average values of and indices with respect to the set of all spiro chains with hexagons and make a comparison between the expected values of and indices in random spiro chains.
原子键连接性（）指数和几何算术（）指数是两个经过充分研究的拓扑指数，它们是定量结构-性质关系（QSPR）和定量结构-活性关系（QSAR）研究中的有用工具。在本文中，我们首先得到了随机螺链中 指数和 指数期望值的显式公式，随机螺链是一类无支链多环芳烃的图。基于这些公式，我们给出了具有 个六边形的所有螺链集合的 指数和 指数的平均值，并对随机螺链中 指数和 指数的期望值进行了比较。
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