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

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.

Sombor index and degree-related properties of simplicial networks

“…[2,13,14,16,18,25,31,36,37,50]. It is unraveled in [20] that Sombor index can characterize physicochemical properties of polycyclic aromatic compounds. With a good correlation with the Shannon entropy, Sombor index is proposed in [1] as a complexity measure for random graphs.…”

Expected Values of Molecular Descriptors in Random Polyphenyl Chains

“…The degree based topological index play an important part in chemical graph theory. The Sombor index [2][3][4] family was introduced by Gutman with a view to a chemical graph. In this article we are concerned about Sombor's index of chemical graphs.…”

The expected values and variances for degree-based topological indices in three random chains*

“…In the most recent paper [19], the expected values and variances for Somber indices in a general random chains are discussed. For more related results, we refer the reader to see [3,6,11,16] Motivated by [5,9,12,13,17,18,19], we devote to study the expected values and variances for degree-based topological indices with the form (1.1) in random hexagonal, phenylene and polyphenyl chains.…”