Reverse Zagreb and Reverse Hyper-Zagreb Indices for Crystallographic Structure of Molecules

In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound. Topological indices help us collect information about algebraic graphs and give us mathematical approach to understand the properties of algebra...

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Main Authors: Zhen Wang, Faryal Chaudhry, Maria Naseem, Adnan Asghar
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Chemistry
Online Access:http://dx.doi.org/10.1155/2020/9805829
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author Zhen Wang
Faryal Chaudhry
Maria Naseem
Adnan Asghar
author_facet Zhen Wang
Faryal Chaudhry
Maria Naseem
Adnan Asghar
author_sort Zhen Wang
collection DOAJ
description In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound. Topological indices help us collect information about algebraic graphs and give us mathematical approach to understand the properties of algebraic structures. With the help of topological indices, we can guess the properties of chemical compounds without performing experiments in wet lab. There are more than 148 topological indices in the literature, but none of them completely give all properties of under study compounds. Together, they do it to some extent; hence, there is always room to introduce new indices. In this paper, we present first and second reserve Zagreb indices and first reverse hyper-Zagreb indices, reverse GA index, and reverse atomic bond connectivity index for the crystallographic structure of molecules. We also present first and second reverse Zagreb polynomials and first and second reverse hyper-Zagreb polynomials for the crystallographic structure of molecules.
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spelling doaj-art-0bb68b06a6564e22b5aada40fc20341d2025-08-20T02:02:54ZengWileyJournal of Chemistry2090-90632090-90712020-01-01202010.1155/2020/98058299805829Reverse Zagreb and Reverse Hyper-Zagreb Indices for Crystallographic Structure of MoleculesZhen Wang0Faryal Chaudhry1Maria Naseem2Adnan Asghar3School of Computer Engineering, Anhui Wonder University of Information Engineering, Hefei 231201, ChinaThe University of Lahore, Lahore, PakistanUniversity of Central Punjab, Lahore, PakistanThe University of Lahore, Lahore, PakistanIn the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound. Topological indices help us collect information about algebraic graphs and give us mathematical approach to understand the properties of algebraic structures. With the help of topological indices, we can guess the properties of chemical compounds without performing experiments in wet lab. There are more than 148 topological indices in the literature, but none of them completely give all properties of under study compounds. Together, they do it to some extent; hence, there is always room to introduce new indices. In this paper, we present first and second reserve Zagreb indices and first reverse hyper-Zagreb indices, reverse GA index, and reverse atomic bond connectivity index for the crystallographic structure of molecules. We also present first and second reverse Zagreb polynomials and first and second reverse hyper-Zagreb polynomials for the crystallographic structure of molecules.http://dx.doi.org/10.1155/2020/9805829
spellingShingle Zhen Wang
Faryal Chaudhry
Maria Naseem
Adnan Asghar
Reverse Zagreb and Reverse Hyper-Zagreb Indices for Crystallographic Structure of Molecules
Journal of Chemistry
title Reverse Zagreb and Reverse Hyper-Zagreb Indices for Crystallographic Structure of Molecules
title_full Reverse Zagreb and Reverse Hyper-Zagreb Indices for Crystallographic Structure of Molecules
title_fullStr Reverse Zagreb and Reverse Hyper-Zagreb Indices for Crystallographic Structure of Molecules
title_full_unstemmed Reverse Zagreb and Reverse Hyper-Zagreb Indices for Crystallographic Structure of Molecules
title_short Reverse Zagreb and Reverse Hyper-Zagreb Indices for Crystallographic Structure of Molecules
title_sort reverse zagreb and reverse hyper zagreb indices for crystallographic structure of molecules
url http://dx.doi.org/10.1155/2020/9805829
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AT adnanasghar reversezagrebandreversehyperzagrebindicesforcrystallographicstructureofmolecules