Comparative Study of Certain Synthetic Polymers via Bond-Additive Invariants

Polymers, like vulcanized rubber, bakelite, and poly-methyl methacrylate (PMMA), are widely utilized as denture based materials, and their prominence has been nothing short of excellent. Recently, Ahmad <italic>et al.</italic> [Open Chemistry 17(2019): 663-670] computed bond-additive inv...

Full description

Bibliographic Details
Main Authors: Maqsood Ahmad, Muhammad Saeed, Muhammad Javaid
Format: Article
Language:English
Published: IEEE 2021-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9326295/
_version_ 1811210774287220736
author Maqsood Ahmad
Muhammad Saeed
Muhammad Javaid
author_facet Maqsood Ahmad
Muhammad Saeed
Muhammad Javaid
author_sort Maqsood Ahmad
collection DOAJ
description Polymers, like vulcanized rubber, bakelite, and poly-methyl methacrylate (PMMA), are widely utilized as denture based materials, and their prominence has been nothing short of excellent. Recently, Ahmad <italic>et al.</italic> [Open Chemistry 17(2019): 663-670] computed bond-additive invariants (BAIs) for the molecular graph of bakelite. In the same paper, they proposed the comparative study of the aforementioned-polymers using BAIs. This paper develops molecular graphs of vulcanized rubber and PMMA to estimate <italic>M-Polynomial</italic> and the generalized Zagreb index. We derive numerous BAIs such as the first and the second Zagreb, Re-defined Zagreb, general Randi&#x0107;, first general Zagreb, and symmetric division degree invariants from the generalized Zagreb index. Moreover, we obtain the modified second Zagreb, inverse Randi&#x0107;, harmonic, inverse sum, and augmented Zagreb invariants from the <italic>M-Polynomials</italic>. Besides, we compute the atom bond connectivity, its fourth version <inline-formula> <tex-math notation="LaTeX">$ABC_{4}$ </tex-math></inline-formula>, the geometric arithmetic, its fifth version <inline-formula> <tex-math notation="LaTeX">$GA_{5}$ </tex-math></inline-formula>, and the Sanskruti indices. Finally, we provide insight into the numerical comparison among several BAIs to establish a relation for the underlying polymers&#x2019; various physicochemical properties.
first_indexed 2024-04-12T05:00:05Z
format Article
id doaj.art-5ca0aaeb302447e08e5e04207358c185
institution Directory Open Access Journal
issn 2169-3536
language English
last_indexed 2024-04-12T05:00:05Z
publishDate 2021-01-01
publisher IEEE
record_format Article
series IEEE Access
spelling doaj.art-5ca0aaeb302447e08e5e04207358c1852022-12-22T03:47:00ZengIEEEIEEE Access2169-35362021-01-019153881540310.1109/ACCESS.2021.30519329326295Comparative Study of Certain Synthetic Polymers via Bond-Additive InvariantsMaqsood Ahmad0https://orcid.org/0000-0002-6858-3244Muhammad Saeed1https://orcid.org/0000-0002-7284-6908Muhammad Javaid2https://orcid.org/0000-0001-7241-8172Department of Mathematics, School of Science, University of Management and Technology, Lahore, PakistanDepartment of Mathematics, School of Science, University of Management and Technology, Lahore, PakistanDepartment of Mathematics, School of Science, University of Management and Technology, Lahore, PakistanPolymers, like vulcanized rubber, bakelite, and poly-methyl methacrylate (PMMA), are widely utilized as denture based materials, and their prominence has been nothing short of excellent. Recently, Ahmad <italic>et al.</italic> [Open Chemistry 17(2019): 663-670] computed bond-additive invariants (BAIs) for the molecular graph of bakelite. In the same paper, they proposed the comparative study of the aforementioned-polymers using BAIs. This paper develops molecular graphs of vulcanized rubber and PMMA to estimate <italic>M-Polynomial</italic> and the generalized Zagreb index. We derive numerous BAIs such as the first and the second Zagreb, Re-defined Zagreb, general Randi&#x0107;, first general Zagreb, and symmetric division degree invariants from the generalized Zagreb index. Moreover, we obtain the modified second Zagreb, inverse Randi&#x0107;, harmonic, inverse sum, and augmented Zagreb invariants from the <italic>M-Polynomials</italic>. Besides, we compute the atom bond connectivity, its fourth version <inline-formula> <tex-math notation="LaTeX">$ABC_{4}$ </tex-math></inline-formula>, the geometric arithmetic, its fifth version <inline-formula> <tex-math notation="LaTeX">$GA_{5}$ </tex-math></inline-formula>, and the Sanskruti indices. Finally, we provide insight into the numerical comparison among several BAIs to establish a relation for the underlying polymers&#x2019; various physicochemical properties.https://ieeexplore.ieee.org/document/9326295/Bond-additive invariantsdenture based materialsmolecular descriptorsmolecular graphsQSAR/QSPRsynthetic polymers
spellingShingle Maqsood Ahmad
Muhammad Saeed
Muhammad Javaid
Comparative Study of Certain Synthetic Polymers via Bond-Additive Invariants
IEEE Access
Bond-additive invariants
denture based materials
molecular descriptors
molecular graphs
QSAR/QSPR
synthetic polymers
title Comparative Study of Certain Synthetic Polymers via Bond-Additive Invariants
title_full Comparative Study of Certain Synthetic Polymers via Bond-Additive Invariants
title_fullStr Comparative Study of Certain Synthetic Polymers via Bond-Additive Invariants
title_full_unstemmed Comparative Study of Certain Synthetic Polymers via Bond-Additive Invariants
title_short Comparative Study of Certain Synthetic Polymers via Bond-Additive Invariants
title_sort comparative study of certain synthetic polymers via bond additive invariants
topic Bond-additive invariants
denture based materials
molecular descriptors
molecular graphs
QSAR/QSPR
synthetic polymers
url https://ieeexplore.ieee.org/document/9326295/
work_keys_str_mv AT maqsoodahmad comparativestudyofcertainsyntheticpolymersviabondadditiveinvariants
AT muhammadsaeed comparativestudyofcertainsyntheticpolymersviabondadditiveinvariants
AT muhammadjavaid comparativestudyofcertainsyntheticpolymersviabondadditiveinvariants