Open AccessThe comparative analysis of two molecular indices in random polyphenyl and spiro chains
Author(s) -
Zahid Raza,
Juan Luis García Guirao,
Ghada Bassioni
Publication year - 2022
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2022583
Subject(s) - multiplicative function , markov chain , mathematics , finite field , chain (unit) , class (philosophy) , combinatorics , discrete mathematics , chemistry , computational chemistry , computer science , physics , statistics , mathematical analysis , quantum mechanics , artificial intelligence
Zagreb indices are well-known and historical indices that are very useful to calculate the properties of compounds. In the last few years, various kinds of Zagreb and Randic indices are investigated and defined to fulfil the demands of various engineering applications. Phenylenes are a class of conjugated hydrocarbons composed of a special arrangement of six- and four-membered rings. This special chain, produced by zeroth-order Markov process has been commonly appeared in the field of pharmacology and materials. Here, we compute the expected values of a multiplicative versions of the geometric arithmetic and atomic bond connectivity indices for these special hydrocarbons. Moreover, we make comparisons in the form of explicit formulae and numerical tables between the expected values of these indices in the random polyphenyl $ \mathbb{P}_n $ and spiro $ \mathbb{S}_n $ chains.