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Research Article | Open Access

Generalized perimantanes diamondoid structure and their edge-based metric dimensions

Al-Nashri Al-Hossain Ahmad1Ali Ahmad2( )
Department of Mathematics, AL Qunfudha University College, Umm AL-Qura University, Saudi Arabia
College of Computer Science and Information Technology, Jazan University, Jazan, Saudi Arabia
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Abstract

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 edge-based metric parameters of this structure. In this draft, we have discussed edge 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 λ or its number of copies.

CLC number: 05C09, 05C12, 05C92

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AIMS Mathematics
Pages 11718-11731

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Cite this article:
Ahmad A-NA-H, Ahmad A. Generalized perimantanes diamondoid structure and their edge-based metric dimensions. AIMS Mathematics, 2022, 7(7): 11718-11731. https://doi.org/10.3934/math.2022653

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Received: 24 February 2022
Revised: 28 March 2022
Accepted: 06 April 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)