论文标题
随机多边形网络中SOMBOR指数的统计分析
The statistical analysis for Sombor indices in a random polygonal chain networks
论文作者
论文摘要
SOMBOR指数是一种基于学位的拓扑分子描述符的新类别，由于其出色的化学适用性，已广泛研究。本文旨在在随机多边形链网络中建立SOMBOR指数分布，并实现预期值和差异的表达。获得了多通基，五角蛋白，聚苯基和环辛烷链的SOMBOR指数的预期值和方差。由于随机链网络的结束连接遵循二项式分布，因此，当由N所指示的链连接的多边形数量接近Infinity时，任何链网络的SOMBOR索引都遵循正态分布。关键词：学位分布；多边形链；期望值；方差; Sombor指数。
The Sombor indices, a new category of degree-based topological molecular descriptors, have been widely investigated due to their excellent chemical applicability. This paper aims to establish Sombor indices distributions in random polygonal chain networks and to achieve expressions of the expected values and variances. The expected values and variances of the Sombor indices for polyonino, pentachain, polyphenyl, and cyclooctane chains are obtained. Since the end connection of a random chain network follows a binomial distribution, the Sombor indices of any chain network follow the normal distribution when the number of polygons connected by the chain, indicated by n, approaches infinity. Keywords: Degree distribution; Polygonal chains; Expected value; Variance; Sombor indices.
