Hosoya properties of the commuting graph associated with the group of symmetries

A vast amount of information about distance based graph invariants is contained in the Hosoya polynomial. Such an information is helpful to determine well-known distance based molecular descriptors. The Hosoya index or Z-index of a graph G is the total number of its matching. The Hosoya index is a p...

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Autores principales: Abbas Ghulam, Rani Anam, Salman Muhammad, Noreen Tahira, Ali Usman
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Lenguaje:EN
Publicado: De Gruyter 2021
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spelling oai:doaj.org-article:62d47e5348064ff0952b18e50ff024cd2021-12-05T14:10:55ZHosoya properties of the commuting graph associated with the group of symmetries0792-12412191-021910.1515/mgmc-2021-0017https://doaj.org/article/62d47e5348064ff0952b18e50ff024cd2021-06-01T00:00:00Zhttps://doi.org/10.1515/mgmc-2021-0017https://doaj.org/toc/0792-1241https://doaj.org/toc/2191-0219A vast amount of information about distance based graph invariants is contained in the Hosoya polynomial. Such an information is helpful to determine well-known distance based molecular descriptors. The Hosoya index or Z-index of a graph G is the total number of its matching. The Hosoya index is a prominent example of topological indices, which are of great interest in combinatorial chemistry, and later on it applies to address several chemical properties in molecular structures. In this article, we investigate Hosoya properties (Hosoya polynomial, reciprocal Hosoya polynomial and Hosoya index) of the commuting graph associated with an algebraic structure developed by the symmetries of regular molecular gones (constructed by atoms with regular atomic-bonding).Abbas GhulamRani AnamSalman MuhammadNoreen TahiraAli UsmanDe Gruyterarticlegeodesichosoya polynomialreciprocal hosoya polynomialhosoya indexmolecular struturenetwork15a2705c0705c1205c92ChemistryQD1-999ENMain Group Metal Chemistry, Vol 44, Iss 1, Pp 173-184 (2021)
institution DOAJ
collection DOAJ
language EN
topic geodesic
hosoya polynomial
reciprocal hosoya polynomial
hosoya index
molecular struture
network
15a27
05c07
05c12
05c92
Chemistry
QD1-999
spellingShingle geodesic
hosoya polynomial
reciprocal hosoya polynomial
hosoya index
molecular struture
network
15a27
05c07
05c12
05c92
Chemistry
QD1-999
Abbas Ghulam
Rani Anam
Salman Muhammad
Noreen Tahira
Ali Usman
Hosoya properties of the commuting graph associated with the group of symmetries
description A vast amount of information about distance based graph invariants is contained in the Hosoya polynomial. Such an information is helpful to determine well-known distance based molecular descriptors. The Hosoya index or Z-index of a graph G is the total number of its matching. The Hosoya index is a prominent example of topological indices, which are of great interest in combinatorial chemistry, and later on it applies to address several chemical properties in molecular structures. In this article, we investigate Hosoya properties (Hosoya polynomial, reciprocal Hosoya polynomial and Hosoya index) of the commuting graph associated with an algebraic structure developed by the symmetries of regular molecular gones (constructed by atoms with regular atomic-bonding).
format article
author Abbas Ghulam
Rani Anam
Salman Muhammad
Noreen Tahira
Ali Usman
author_facet Abbas Ghulam
Rani Anam
Salman Muhammad
Noreen Tahira
Ali Usman
author_sort Abbas Ghulam
title Hosoya properties of the commuting graph associated with the group of symmetries
title_short Hosoya properties of the commuting graph associated with the group of symmetries
title_full Hosoya properties of the commuting graph associated with the group of symmetries
title_fullStr Hosoya properties of the commuting graph associated with the group of symmetries
title_full_unstemmed Hosoya properties of the commuting graph associated with the group of symmetries
title_sort hosoya properties of the commuting graph associated with the group of symmetries
publisher De Gruyter
publishDate 2021
url https://doaj.org/article/62d47e5348064ff0952b18e50ff024cd
work_keys_str_mv AT abbasghulam hosoyapropertiesofthecommutinggraphassociatedwiththegroupofsymmetries
AT ranianam hosoyapropertiesofthecommutinggraphassociatedwiththegroupofsymmetries
AT salmanmuhammad hosoyapropertiesofthecommutinggraphassociatedwiththegroupofsymmetries
AT noreentahira hosoyapropertiesofthecommutinggraphassociatedwiththegroupofsymmetries
AT aliusman hosoyapropertiesofthecommutinggraphassociatedwiththegroupofsymmetries
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