Computing Analysis of Zagreb Indices for Generalized Sum Graphs under Strong Product

Numerous studies based on mathematical models and tools indicate that there is a strong inherent relationship between the chemical properties of the chemical compounds and drugs with their molecular structures. In the last two decades, the graph-theoretic techniques are frequently used to analyse th...

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Main Authors: Muhammad Javaid, Saira Javed, Abdulaziz Mohammed Alanazi, Majdah R. Alotaibi
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Chemistry
Online Access:http://dx.doi.org/10.1155/2021/6663624
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author Muhammad Javaid
Saira Javed
Abdulaziz Mohammed Alanazi
Majdah R. Alotaibi
author_facet Muhammad Javaid
Saira Javed
Abdulaziz Mohammed Alanazi
Majdah R. Alotaibi
author_sort Muhammad Javaid
collection DOAJ
description Numerous studies based on mathematical models and tools indicate that there is a strong inherent relationship between the chemical properties of the chemical compounds and drugs with their molecular structures. In the last two decades, the graph-theoretic techniques are frequently used to analyse the various physicochemical and structural properties of the molecular graphs which play a vital role in chemical engineering and pharmaceutical industry. In this paper, we compute Zagreb indices of the generalized sum graphs in the form of the different indices of their factor graphs, where generalized sum graphs are obtained under the operations of subdivision and strong product of graphs. Moreover, the obtained results are illustrated with the help of particular classes of graphs and analysed to find the efficient subclass with dominant indices.
format Article
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issn 2090-9063
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publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Chemistry
spelling doaj-art-6ae82f2ff134483da49903a4e290cf2b2025-08-20T02:23:59ZengWileyJournal of Chemistry2090-90632090-90712021-01-01202110.1155/2021/66636246663624Computing Analysis of Zagreb Indices for Generalized Sum Graphs under Strong ProductMuhammad Javaid0Saira Javed1Abdulaziz Mohammed Alanazi2Majdah R. Alotaibi3Department of Mathematics, School of Science, University of Management and Technology, Lahore 54770, PakistanDepartment of Mathematics, School of Science, University of Management and Technology, Lahore 54770, PakistanDepartment of Mathematics, University of Tabuk, Tabuk 71412, Saudi ArabiaDepartment of Chemistry, University of Tabuk, Tabuk 71412, Saudi ArabiaNumerous studies based on mathematical models and tools indicate that there is a strong inherent relationship between the chemical properties of the chemical compounds and drugs with their molecular structures. In the last two decades, the graph-theoretic techniques are frequently used to analyse the various physicochemical and structural properties of the molecular graphs which play a vital role in chemical engineering and pharmaceutical industry. In this paper, we compute Zagreb indices of the generalized sum graphs in the form of the different indices of their factor graphs, where generalized sum graphs are obtained under the operations of subdivision and strong product of graphs. Moreover, the obtained results are illustrated with the help of particular classes of graphs and analysed to find the efficient subclass with dominant indices.http://dx.doi.org/10.1155/2021/6663624
spellingShingle Muhammad Javaid
Saira Javed
Abdulaziz Mohammed Alanazi
Majdah R. Alotaibi
Computing Analysis of Zagreb Indices for Generalized Sum Graphs under Strong Product
Journal of Chemistry
title Computing Analysis of Zagreb Indices for Generalized Sum Graphs under Strong Product
title_full Computing Analysis of Zagreb Indices for Generalized Sum Graphs under Strong Product
title_fullStr Computing Analysis of Zagreb Indices for Generalized Sum Graphs under Strong Product
title_full_unstemmed Computing Analysis of Zagreb Indices for Generalized Sum Graphs under Strong Product
title_short Computing Analysis of Zagreb Indices for Generalized Sum Graphs under Strong Product
title_sort computing analysis of zagreb indices for generalized sum graphs under strong product
url http://dx.doi.org/10.1155/2021/6663624
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AT majdahralotaibi computinganalysisofzagrebindicesforgeneralizedsumgraphsunderstrongproduct