Partition Resolvability of Nanosheet and Nanotube Derived from Octagonal Grid

Chemical graph theory, a branch of computational and applied mathematics, covers a very wide range of topics. As a result, the world of applied sciences heavily relies on graph theory. The concept of partition dimension has significant importance in the field of chemical graph theory. Although certa...

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Main Authors: Ali Al Khabyah, Ali N. A. Koam, Ali Ahmad
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2024/6222086
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author Ali Al Khabyah
Ali N. A. Koam
Ali Ahmad
author_facet Ali Al Khabyah
Ali N. A. Koam
Ali Ahmad
author_sort Ali Al Khabyah
collection DOAJ
description Chemical graph theory, a branch of computational and applied mathematics, covers a very wide range of topics. As a result, the world of applied sciences heavily relies on graph theory. The concept of partition dimension has significant importance in the field of chemical graph theory. Although certain graphs have bounded partition dimensions, a graph’s partition dimension may be constant. In this study, we look at two alternative chemical structures made of an octagonal grid: nanosheets and nanotubes. We determined the partition dimension of an octagonal grid-generated nanosheet to be 3, and the partition dimension of a nanotube to be limited from 4.
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institution Kabale University
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spelling doaj-art-e1585916192b47a9b126c6574c64f5632025-02-03T01:32:20ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/6222086Partition Resolvability of Nanosheet and Nanotube Derived from Octagonal GridAli Al Khabyah0Ali N. A. Koam1Ali Ahmad2Department of MathematicsDepartment of MathematicsDepartment of Information Technology and SecurityChemical graph theory, a branch of computational and applied mathematics, covers a very wide range of topics. As a result, the world of applied sciences heavily relies on graph theory. The concept of partition dimension has significant importance in the field of chemical graph theory. Although certain graphs have bounded partition dimensions, a graph’s partition dimension may be constant. In this study, we look at two alternative chemical structures made of an octagonal grid: nanosheets and nanotubes. We determined the partition dimension of an octagonal grid-generated nanosheet to be 3, and the partition dimension of a nanotube to be limited from 4.http://dx.doi.org/10.1155/2024/6222086
spellingShingle Ali Al Khabyah
Ali N. A. Koam
Ali Ahmad
Partition Resolvability of Nanosheet and Nanotube Derived from Octagonal Grid
Journal of Mathematics
title Partition Resolvability of Nanosheet and Nanotube Derived from Octagonal Grid
title_full Partition Resolvability of Nanosheet and Nanotube Derived from Octagonal Grid
title_fullStr Partition Resolvability of Nanosheet and Nanotube Derived from Octagonal Grid
title_full_unstemmed Partition Resolvability of Nanosheet and Nanotube Derived from Octagonal Grid
title_short Partition Resolvability of Nanosheet and Nanotube Derived from Octagonal Grid
title_sort partition resolvability of nanosheet and nanotube derived from octagonal grid
url http://dx.doi.org/10.1155/2024/6222086
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AT alinakoam partitionresolvabilityofnanosheetandnanotubederivedfromoctagonalgrid
AT aliahmad partitionresolvabilityofnanosheetandnanotubederivedfromoctagonalgrid