The statistical analysis for Sombor indices in a random polygonal chain networks

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 establish index distributions in random polygonal chain networks and derive expressions for expected values variances. variances the indices polyonino, pentachain, polyphenyl, cyclooctane chains are obtained. Since end connection network follows binomial distribution, any follow normal distribution as number polygons connected by (indicated n) approaches infinity.