On the Partition Dimension of Tri-Hexagonal α-Boron Nanotube

The production of low-cost, small in size, and high in efficiency objects is the topic of research in almost all scientific fields, especially of engineering. In this scenario, nanotechnology becomes of great importance. To achieve these tasks, one needs to study the different physical and chemical...

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Main Authors: Ayesha Shabbir, Muhammad Azeem
Format: Article
Language:English
Published: IEEE 2021-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9399073/
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author Ayesha Shabbir
Muhammad Azeem
author_facet Ayesha Shabbir
Muhammad Azeem
author_sort Ayesha Shabbir
collection DOAJ
description The production of low-cost, small in size, and high in efficiency objects is the topic of research in almost all scientific fields, especially of engineering. In this scenario, nanotechnology becomes of great importance. To achieve these tasks, one needs to study the different physical and chemical aspects of a chemical compound. In mathematical graph theory, chemical compounds are transformed in a unique mathematical representation and then examined under various parameters for these purposes. The Partition Dimension is also one of these parametric tools, which are used to identify each atom or vertex of a chemical structure under some chosen conditions. In the present paper, we use this tool to show the unique identification of each atom of a tri-hexagonal lattice of the <inline-formula> <tex-math notation="LaTeX">$\alpha $ </tex-math></inline-formula>-boron nanotube.
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spelling doaj.art-d842920a5172411b9feff92c6cb7ee952022-12-22T03:47:14ZengIEEEIEEE Access2169-35362021-01-019556445565310.1109/ACCESS.2021.30717169399073On the Partition Dimension of Tri-Hexagonal &#x03B1;-Boron NanotubeAyesha Shabbir0https://orcid.org/0000-0002-3392-7166Muhammad Azeem1https://orcid.org/0000-0001-5181-4221Preparatory Year Deanship, King Faisal University, Al Ahsa, Saudi ArabiaDepartment of Aerospace Engineering, Faculty of Engineering, Universiti Putra Malaysia, Seri Kembangan, MalaysiaThe production of low-cost, small in size, and high in efficiency objects is the topic of research in almost all scientific fields, especially of engineering. In this scenario, nanotechnology becomes of great importance. To achieve these tasks, one needs to study the different physical and chemical aspects of a chemical compound. In mathematical graph theory, chemical compounds are transformed in a unique mathematical representation and then examined under various parameters for these purposes. The Partition Dimension is also one of these parametric tools, which are used to identify each atom or vertex of a chemical structure under some chosen conditions. In the present paper, we use this tool to show the unique identification of each atom of a tri-hexagonal lattice of the <inline-formula> <tex-math notation="LaTeX">$\alpha $ </tex-math></inline-formula>-boron nanotube.https://ieeexplore.ieee.org/document/9399073/α-boron nanotubetri-hexagonal boron nanotubemolecular graphresolving partition setpartition dimension
spellingShingle Ayesha Shabbir
Muhammad Azeem
On the Partition Dimension of Tri-Hexagonal &#x03B1;-Boron Nanotube
IEEE Access
α-boron nanotube
tri-hexagonal boron nanotube
molecular graph
resolving partition set
partition dimension
title On the Partition Dimension of Tri-Hexagonal &#x03B1;-Boron Nanotube
title_full On the Partition Dimension of Tri-Hexagonal &#x03B1;-Boron Nanotube
title_fullStr On the Partition Dimension of Tri-Hexagonal &#x03B1;-Boron Nanotube
title_full_unstemmed On the Partition Dimension of Tri-Hexagonal &#x03B1;-Boron Nanotube
title_short On the Partition Dimension of Tri-Hexagonal &#x03B1;-Boron Nanotube
title_sort on the partition dimension of tri hexagonal x03b1 boron nanotube
topic α-boron nanotube
tri-hexagonal boron nanotube
molecular graph
resolving partition set
partition dimension
url https://ieeexplore.ieee.org/document/9399073/
work_keys_str_mv AT ayeshashabbir onthepartitiondimensionoftrihexagonalx03b1boronnanotube
AT muhammadazeem onthepartitiondimensionoftrihexagonalx03b1boronnanotube