On Minimum Generalized Degree Distance Index of Cyclic Graphs

Topological index (TI) is a mapping that associates a real number to the under study (molecular) graph which predicts its various physical and chemical properties. The generalized degree distance index is the latest developed TI having compatible significance among the list of distance-based TIs. In...

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Main Authors: Nadia Khan, M. Javaid, M. K. Aslam, Mamo Abebe Ashebo
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2023/9934992
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author Nadia Khan
M. Javaid
M. K. Aslam
Mamo Abebe Ashebo
author_facet Nadia Khan
M. Javaid
M. K. Aslam
Mamo Abebe Ashebo
author_sort Nadia Khan
collection DOAJ
description Topological index (TI) is a mapping that associates a real number to the under study (molecular) graph which predicts its various physical and chemical properties. The generalized degree distance index is the latest developed TI having compatible significance among the list of distance-based TIs. In this paper, the minimum generalized degree distance of unicyclic, bicyclic, and four cyclic graphs is determined. Mainly, the associated extremal (minimal) graphs are also identified among all the aforesaid classes of graphs.
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institution Kabale University
issn 1687-0425
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publishDate 2023-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-46facc2c262d4fd8b7b7fc75de68dcd72025-02-03T06:47:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252023-01-01202310.1155/2023/9934992On Minimum Generalized Degree Distance Index of Cyclic GraphsNadia Khan0M. Javaid1M. K. Aslam2Mamo Abebe Ashebo3Department of Mathematics and StatisticsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsTopological index (TI) is a mapping that associates a real number to the under study (molecular) graph which predicts its various physical and chemical properties. The generalized degree distance index is the latest developed TI having compatible significance among the list of distance-based TIs. In this paper, the minimum generalized degree distance of unicyclic, bicyclic, and four cyclic graphs is determined. Mainly, the associated extremal (minimal) graphs are also identified among all the aforesaid classes of graphs.http://dx.doi.org/10.1155/2023/9934992
spellingShingle Nadia Khan
M. Javaid
M. K. Aslam
Mamo Abebe Ashebo
On Minimum Generalized Degree Distance Index of Cyclic Graphs
International Journal of Mathematics and Mathematical Sciences
title On Minimum Generalized Degree Distance Index of Cyclic Graphs
title_full On Minimum Generalized Degree Distance Index of Cyclic Graphs
title_fullStr On Minimum Generalized Degree Distance Index of Cyclic Graphs
title_full_unstemmed On Minimum Generalized Degree Distance Index of Cyclic Graphs
title_short On Minimum Generalized Degree Distance Index of Cyclic Graphs
title_sort on minimum generalized degree distance index of cyclic graphs
url http://dx.doi.org/10.1155/2023/9934992
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