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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Main Authors: Hamdan Alshehri, Ali Ahmad, Yahya Alqahtani, Muhammad Azeem
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Access
Subjects:
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&#x2019;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.
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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&#x2019;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/
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AT aliahmad vertexmetricbaseddimensionofgeneralizedperimantanesdiamondoidstructure
AT yahyaalqahtani vertexmetricbaseddimensionofgeneralizedperimantanesdiamondoidstructure
AT muhammadazeem vertexmetricbaseddimensionofgeneralizedperimantanesdiamondoidstructure