The Expected Values of Augmented Zagreb and Arithmetic-Geometric Indices in Random Polyphenyl Chains

Abstract

Polyphenyls and their derivatives, which are used in heat exchangers, drug synthesis, organic synthesis, and so on, have attracted the attention of researchers in various fields for many years. In this paper, we determine the expected values of the augmented Zagreb and arithmetic-geometric indices for this class of conjugated hydrocarbons. The comparisons between the expected values of these indices concerning the random polyphenyl 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 polyphenyl chains
• arithmetic-geometric index
• augmented Zagreb index

AMS SUBJECT CLASSIFICATION:

• 05C05
• 05C12

Disclosure statement

No potential conflict of interest was reported by the author(s).