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Multiplicative Attributes Derived from Graph Invariants for Saztec4 Diamond
This article is published by Hindawi 2022 and is also available at https://doi.org/10.1155/2022/9148581
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Hindawi
2024
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| access_status_str | Open Access |
| author | Aftab, Muhammad Haroon Siddique, Imran Asamoah, Joshua Kiddy K. Khalifa, Hamiden Abd El-Wahed Hussain, Muhammad |
| author2 | 0000-0002-7066-246X |
| author_browse | 0000-0002-7066-246X Aftab, Muhammad Haroon Asamoah, Joshua Kiddy K. Hussain, Muhammad Khalifa, Hamiden Abd El-Wahed Siddique, Imran |
| author_facet | 0000-0002-7066-246X Aftab, Muhammad Haroon Siddique, Imran Asamoah, Joshua Kiddy K. Khalifa, Hamiden Abd El-Wahed Hussain, Muhammad |
| author_sort | Aftab, Muhammad Haroon |
| collection | Thesis |
| description | This article is published by Hindawi 2022 and is also available at https://doi.org/10.1155/2022/9148581 |
| format | Article |
| id | oai:ir.knust.edu.gh:123456789/15960 |
| institution | KNUST (Ghana) |
| language | English |
| last_indexed | 2026-07-01T04:01:09.028Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from KNUSTSpace — Kwame Nkrumah University of Science & Technology (Ghana) |
| publishDate | 2024 |
| publishDateRange | 2024 |
| publishDateSort | 2024 |
| publisher | Hindawi |
| publisherStr | Hindawi |
| record_format | dspace |
| source_str | KNUSTSpace — Kwame Nkrumah University of Science & Technology (Ghana) |
| spelling | oai:ir.knust.edu.gh:123456789/15960 Multiplicative Attributes Derived from Graph Invariants for Saztec4 Diamond Aftab, Muhammad Haroon Siddique, Imran Asamoah, Joshua Kiddy K. Khalifa, Hamiden Abd El-Wahed Hussain, Muhammad 0000-0002-7066-246X This article is published by Hindawi 2022 and is also available at https://doi.org/10.1155/2022/9148581 is study consists of developing some closed and updated formulas derived from multiplicative graph invariants such as general Randic index (GRI)R 0(8) for 0 { ± 1, ± 1/2}, ordinary general geometric-arithmetic (OGA), general version of harmonic index (GHI), sum connectivity index (SI), general sum connectivity index (GSI), 1st and 2nd Gourava and hyper-Gourava indices, (ABC) index, Shegehalli and Kanabur indices, 1st generalised version of Zagreb index (GZI), and forgotten index (FI) for the subdivided Aztec diamond network. Aztec diamond is constructed based on the squares boxes. ese square boxes are placed at the centre point and nourish the condition |s− (1/2)| + |r− (1/2)| n. Furthermore, we put a new vertex of degree-2 at each edge of the small boxes, squares in shapes. A new structure is obtained that has the same properties as its parental graph and is called a subdivided Aztec diamond and symbolised as Saztecn. Subsequently, we compute the multiplicative topological attributes to get some new formulas. For this purpose, a simple, connected, and the nite graph is considered by supposing it Y as the graph of the Saztecn. e order and size have also been discussed in this study and found three di erent kinds of edges (2, 2), (2, 3), and (2, 4) for computing. e discussion on the networks mentioned above provides us with essential results that can be used in the determination of bio and physio activities and can be interspersed with the molecular compounds and their graphical structures better to understand their physical as well as biological properties. KNUST 2024-11-20T12:22:12Z 2024-11-20T12:22:12Z 2022-09 Article Hindawi Journal of Mathematics Volume 2022, Article ID 9148581, 7 pages https://doi.org/10.1155/2022/9148581 https://ir.knust.edu.gh/handle/123456789/15960 en application/pdf Hindawi |
| spellingShingle | Aftab, Muhammad Haroon Siddique, Imran Asamoah, Joshua Kiddy K. Khalifa, Hamiden Abd El-Wahed Hussain, Muhammad Multiplicative Attributes Derived from Graph Invariants for Saztec4 Diamond |
| title | Multiplicative Attributes Derived from Graph Invariants for Saztec4 Diamond |
| title_full | Multiplicative Attributes Derived from Graph Invariants for Saztec4 Diamond |
| title_fullStr | Multiplicative Attributes Derived from Graph Invariants for Saztec4 Diamond |
| title_full_unstemmed | Multiplicative Attributes Derived from Graph Invariants for Saztec4 Diamond |
| title_short | Multiplicative Attributes Derived from Graph Invariants for Saztec4 Diamond |
| title_sort | multiplicative attributes derived from graph invariants for saztec4 diamond |
| url | https://doi.org/10.1155/2022/9148581 https://ir.knust.edu.gh/handle/123456789/15960 |
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