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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Language: | English |
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Wiley
2023-01-01
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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. |
format | Article |
id | doaj-art-46facc2c262d4fd8b7b7fc75de68dcd7 |
institution | Kabale University |
issn | 1687-0425 |
language | English |
publishDate | 2023-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT nadiakhan onminimumgeneralizeddegreedistanceindexofcyclicgraphs AT mjavaid onminimumgeneralizeddegreedistanceindexofcyclicgraphs AT mkaslam onminimumgeneralizeddegreedistanceindexofcyclicgraphs AT mamoabebeashebo onminimumgeneralizeddegreedistanceindexofcyclicgraphs |