Vertex Metric-Based Dimension of Generalized Perimantanes Diamondoid Structure
Due to its superlative physical qualities and its beauty, the diamond is a renowned structure. While the green-colored perimantanes diamondoid is one of a higher diamond structure. Motivated by the structure’s applications and usage, we look into the metric-based parameters of this struct...
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IEEE
2022-01-01
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Series: | IEEE Access |
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Online Access: | https://ieeexplore.ieee.org/document/9761204/ |
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author | Hamdan Alshehri Ali Ahmad Yahya Alqahtani Muhammad Azeem |
author_facet | Hamdan Alshehri Ali Ahmad Yahya Alqahtani Muhammad Azeem |
author_sort | Hamdan Alshehri |
collection | DOAJ |
description | Due to its superlative physical qualities and its beauty, the diamond is a renowned structure. While the green-colored perimantanes diamondoid is one of a higher diamond structure. Motivated by the structure’s applications and usage, we look into the metric-based parameters of this structure. In this draft, we have discussed metric dimension and their generalizations for the generalized perimantanes diamondoid structure and proved that each parameter depends on the copies of original or base perimantanes diamondoid structure and changes with the parameter <inline-formula> <tex-math notation="LaTeX">${n}$ </tex-math></inline-formula> or its number of copies. |
first_indexed | 2024-04-13T09:44:05Z |
format | Article |
id | doaj.art-b8f77b586b014c51a078fa307158bbd7 |
institution | Directory Open Access Journal |
issn | 2169-3536 |
language | English |
last_indexed | 2024-04-13T09:44:05Z |
publishDate | 2022-01-01 |
publisher | IEEE |
record_format | Article |
series | IEEE Access |
spelling | doaj.art-b8f77b586b014c51a078fa307158bbd72022-12-22T02:51:49ZengIEEEIEEE Access2169-35362022-01-0110433204332610.1109/ACCESS.2022.31692779761204Vertex Metric-Based Dimension of Generalized Perimantanes Diamondoid StructureHamdan Alshehri0https://orcid.org/0000-0001-7052-1328Ali Ahmad1https://orcid.org/0000-0003-3434-9908Yahya Alqahtani2Muhammad Azeem3https://orcid.org/0000-0001-5181-4221College of Computer Science and Information Technology, Jazan University, Jazan, Saudi ArabiaCollege of Computer Science and Information Technology, Jazan University, Jazan, Saudi ArabiaCollege of Computer Science and Information Technology, Jazan University, Jazan, Saudi ArabiaDepartment of Mathematics, Riphah Institute of Computing and Applied Sciences, Riphah International University, Lahore, PakistanDue to its superlative physical qualities and its beauty, the diamond is a renowned structure. While the green-colored perimantanes diamondoid is one of a higher diamond structure. Motivated by the structure’s applications and usage, we look into the metric-based parameters of this structure. In this draft, we have discussed metric dimension and their generalizations for the generalized perimantanes diamondoid structure and proved that each parameter depends on the copies of original or base perimantanes diamondoid structure and changes with the parameter <inline-formula> <tex-math notation="LaTeX">${n}$ </tex-math></inline-formula> or its number of copies.https://ieeexplore.ieee.org/document/9761204/Vertex metric dimensiongeneralized perimantanes diamondoidsdiamond structureresolving set |
spellingShingle | Hamdan Alshehri Ali Ahmad Yahya Alqahtani Muhammad Azeem Vertex Metric-Based Dimension of Generalized Perimantanes Diamondoid Structure IEEE Access Vertex metric dimension generalized perimantanes diamondoids diamond structure resolving set |
title | Vertex Metric-Based Dimension of Generalized Perimantanes Diamondoid Structure |
title_full | Vertex Metric-Based Dimension of Generalized Perimantanes Diamondoid Structure |
title_fullStr | Vertex Metric-Based Dimension of Generalized Perimantanes Diamondoid Structure |
title_full_unstemmed | Vertex Metric-Based Dimension of Generalized Perimantanes Diamondoid Structure |
title_short | Vertex Metric-Based Dimension of Generalized Perimantanes Diamondoid Structure |
title_sort | vertex metric based dimension of generalized perimantanes diamondoid structure |
topic | Vertex metric dimension generalized perimantanes diamondoids diamond structure resolving set |
url | https://ieeexplore.ieee.org/document/9761204/ |
work_keys_str_mv | AT hamdanalshehri vertexmetricbaseddimensionofgeneralizedperimantanesdiamondoidstructure AT aliahmad vertexmetricbaseddimensionofgeneralizedperimantanesdiamondoidstructure AT yahyaalqahtani vertexmetricbaseddimensionofgeneralizedperimantanesdiamondoidstructure AT muhammadazeem vertexmetricbaseddimensionofgeneralizedperimantanesdiamondoidstructure |