The expected values of Sombor indices in random hexagonal chains, phenylene chains and Sombor indices of some chemical graphs

TL;DR

This paper calculates the expected Sombor indices for random hexagonal and phenylene chains and explores their values in various chemical graphs, aiding in understanding molecular properties.

Contribution

It introduces the expected values of Sombor indices in specific chemical graph classes and applies them to important molecular structures.

Findings

Expected Sombor indices for random chains calculated

Sombor indices analyzed for graphene and nanocones

Results support modeling thermodynamic properties

Abstract

Hexagonal chains are a special class of catacondensed benzenoid system and phenylene chains are a class of polycyclic aromatic compounds. Recently, A family of Sombor indices was introduced by Gutman in the chemical graph theory. It had been examined that these indices may be successfully applied on modeling thermodynamic properties of compounds. In this paper, we study the expected values of the Sombor indices in random hexagonal chains, phenylene chains, and consider the Sombor indices of some chemical graphs such as graphene, coronoid systems and carbon nanocones.