On the Expected Values of Topological Indices in Random Phenylene Chains

Abstract

The phenylenes exhibit unique physicochemical properties due to their aromatic and antiaromatic rings. The main object of this paper is to determine the expected values of the arithmetic-geometric and augmented Zagreb indices for random phenylene chains. The comparisons between the expected values of these indices with respect to the random phenylene chains have been determined explicitly. The graphical illustrations have been given in terms of the differences between the expected values of these indices.

Keywords:

• Random phenylene chains
• arithmetic-geometric index
• augmented Zagreb index

AMS subject classification:

• 05C12

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The second author is supported by the Natural Science Foundation of Anhui Province (no. KJ2021A1154, 2022AH051864, 2022AH051859, 2022AH052810).