Sum-Connectivity Coindex of Graphs under Operations

Topological indices or coindices are mathematical parameters which are widely used to investigate different properties of graphs. The operations on graphs play vital roles in the formation of new molecular graphs from the old ones. Let Γ be a graph we perform four operations which are S, R, Q, and T...

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Main Authors: Muhammad Ibraheem, Ebenezer Bonyah, Muhammad Javaid
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Chemistry
Online Access:http://dx.doi.org/10.1155/2022/4523223
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author Muhammad Ibraheem
Ebenezer Bonyah
Muhammad Javaid
author_facet Muhammad Ibraheem
Ebenezer Bonyah
Muhammad Javaid
author_sort Muhammad Ibraheem
collection DOAJ
description Topological indices or coindices are mathematical parameters which are widely used to investigate different properties of graphs. The operations on graphs play vital roles in the formation of new molecular graphs from the old ones. Let Γ be a graph we perform four operations which are S, R, Q, and T and obtained subdivisions type graphs such that SΓ, RΓ, QΓ, and TΓ, respectively. Let Γ1 and Γ2 be two simple graphs; then, F-sum graph is defined by performing the Cartesian product on FΓ1 and Γ2; mathematically, it is denoted by Γ1+FΓ2, where F∈S,R,Q,T. In this article, we have calculated sum-connectivity coindex for F-sum graphs. At the end, we have illustrated the results for particular F-sum graphs with the help of a table consisting of numerical values.
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institution Kabale University
issn 2090-9071
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publishDate 2022-01-01
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series Journal of Chemistry
spelling doaj-art-23ed6496265d4535a5abaa86b6960ac22025-02-03T06:05:51ZengWileyJournal of Chemistry2090-90712022-01-01202210.1155/2022/4523223Sum-Connectivity Coindex of Graphs under OperationsMuhammad Ibraheem0Ebenezer Bonyah1Muhammad Javaid2Department of MathematicsDepartment of Mathematics EducationDepartment of MathematicsTopological indices or coindices are mathematical parameters which are widely used to investigate different properties of graphs. The operations on graphs play vital roles in the formation of new molecular graphs from the old ones. Let Γ be a graph we perform four operations which are S, R, Q, and T and obtained subdivisions type graphs such that SΓ, RΓ, QΓ, and TΓ, respectively. Let Γ1 and Γ2 be two simple graphs; then, F-sum graph is defined by performing the Cartesian product on FΓ1 and Γ2; mathematically, it is denoted by Γ1+FΓ2, where F∈S,R,Q,T. In this article, we have calculated sum-connectivity coindex for F-sum graphs. At the end, we have illustrated the results for particular F-sum graphs with the help of a table consisting of numerical values.http://dx.doi.org/10.1155/2022/4523223
spellingShingle Muhammad Ibraheem
Ebenezer Bonyah
Muhammad Javaid
Sum-Connectivity Coindex of Graphs under Operations
Journal of Chemistry
title Sum-Connectivity Coindex of Graphs under Operations
title_full Sum-Connectivity Coindex of Graphs under Operations
title_fullStr Sum-Connectivity Coindex of Graphs under Operations
title_full_unstemmed Sum-Connectivity Coindex of Graphs under Operations
title_short Sum-Connectivity Coindex of Graphs under Operations
title_sort sum connectivity coindex of graphs under operations
url http://dx.doi.org/10.1155/2022/4523223
work_keys_str_mv AT muhammadibraheem sumconnectivitycoindexofgraphsunderoperations
AT ebenezerbonyah sumconnectivitycoindexofgraphsunderoperations
AT muhammadjavaid sumconnectivitycoindexofgraphsunderoperations