Modified Zagreb Connection Indices for Benes Network and Related Classes
The study of networks such as Butterfly networks, Benes networks, interconnection networks, David-derived networks through graph theoretical parameters is among the modern trends in the area of graph theory. Among these graph theoretical tools, the topological Indices TIs have been frequently used a...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/8547332 |
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| _version_ | 1832551561635561472 |
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| author | Wenhu Wang Asma Nisar Asfand Fahad Muhammad Imran Qureshi Abdu Alameri |
| author_facet | Wenhu Wang Asma Nisar Asfand Fahad Muhammad Imran Qureshi Abdu Alameri |
| author_sort | Wenhu Wang |
| collection | DOAJ |
| description | The study of networks such as Butterfly networks, Benes networks, interconnection networks, David-derived networks through graph theoretical parameters is among the modern trends in the area of graph theory. Among these graph theoretical tools, the topological Indices TIs have been frequently used as graph invariants. TIs are also the essential tools for quantitative structure activity relationship (QSAR) as well as quantity structure property relationships (QSPR). TIs depend on different parameters, such as degree and distance of vertices in graphs. The current work is devoted to the derivation of 2-distance based TIs, known as, modified first Zagreb connection index ZC1∗ and first Zagreb connection index ZC1 for r− dimensional Benes network and some classes generated from Benes network. The horizontal cylindrical Benes network HCBr, vertical cylindrical Benes network VCBr, and toroidal Benes network TBr are the three classes generated by identifying the vertices of the first row with the last row, the first column with the last column of the Benes network. The obtained results are also analyzed through graphical tools. |
| format | Article |
| id | doaj-art-baf4a8d1e20f41d5af9d727cb778ca3c |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-baf4a8d1e20f41d5af9d727cb778ca3c2025-02-03T06:01:17ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/8547332Modified Zagreb Connection Indices for Benes Network and Related ClassesWenhu Wang0Asma Nisar1Asfand Fahad2Muhammad Imran Qureshi3Abdu Alameri4School of SoftwareDepartment of MathematicsCentre for Advanced Studies in Pure and Applied MathematicsDepartment of MathematicsDepartment of Biomedical EngineeringThe study of networks such as Butterfly networks, Benes networks, interconnection networks, David-derived networks through graph theoretical parameters is among the modern trends in the area of graph theory. Among these graph theoretical tools, the topological Indices TIs have been frequently used as graph invariants. TIs are also the essential tools for quantitative structure activity relationship (QSAR) as well as quantity structure property relationships (QSPR). TIs depend on different parameters, such as degree and distance of vertices in graphs. The current work is devoted to the derivation of 2-distance based TIs, known as, modified first Zagreb connection index ZC1∗ and first Zagreb connection index ZC1 for r− dimensional Benes network and some classes generated from Benes network. The horizontal cylindrical Benes network HCBr, vertical cylindrical Benes network VCBr, and toroidal Benes network TBr are the three classes generated by identifying the vertices of the first row with the last row, the first column with the last column of the Benes network. The obtained results are also analyzed through graphical tools.http://dx.doi.org/10.1155/2022/8547332 |
| spellingShingle | Wenhu Wang Asma Nisar Asfand Fahad Muhammad Imran Qureshi Abdu Alameri Modified Zagreb Connection Indices for Benes Network and Related Classes Journal of Mathematics |
| title | Modified Zagreb Connection Indices for Benes Network and Related Classes |
| title_full | Modified Zagreb Connection Indices for Benes Network and Related Classes |
| title_fullStr | Modified Zagreb Connection Indices for Benes Network and Related Classes |
| title_full_unstemmed | Modified Zagreb Connection Indices for Benes Network and Related Classes |
| title_short | Modified Zagreb Connection Indices for Benes Network and Related Classes |
| title_sort | modified zagreb connection indices for benes network and related classes |
| url | http://dx.doi.org/10.1155/2022/8547332 |
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