Metric-Based Resolvability of Quartz Structure

Muhammad Imran; Ali Ahmad; Muhammad Azeem; Kashif Elahi

doi:10.32604/cmc.2022.022064

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ARTICLE

Metric-Based Resolvability of Quartz Structure

Muhammad Imran^1,*, Ali Ahmad², Muhammad Azeem³, Kashif Elahi⁴
1 Department of Mathematical Sciences, United Arab Emirates University, Al Ain, United Arab Emirates
2 College of Computer Science & Information Technology Jazan University, Jazan, Saudi Arabia
3 Department of Aerospace Engineering, Faculty of Engineering, Universiti Putra Malaysia, Malaysia
4 Deanship of E-learning and Information Technology, Jazan University, Jazan, Saudi Arabia
* Corresponding Author: Muhammad Imran. Email:

Computers, Materials & Continua 2022, 71(1), 2053-2071. https://doi.org/10.32604/cmc.2022.022064

Received 26 July 2021; Accepted 22 September 2021; Issue published 03 November 2021

Abstract

Silica has three major varieties of crystalline. Quartz is the main and abundant ingredient in the crust of our earth. While other varieties are formed by the heating of quartz. Silica quartz is a rich chemical structure containing enormous properties. Any chemical network or structure can be transformed into a graph, where atoms become vertices and the bonds are converted to edges, between vertices. This makes a complex network easy to visualize to work on it. There are many concepts to work on chemical structures in terms of graph theory but the resolvability parameters of a graph are quite advance and applicable topic. Resolvability parameters of a graph is a way to getting a graph into unique form, like each vertex or edge has a unique identification by means of some selected vertices, which depends on the distance of vertices and its pattern in a particular graph. We have dealt some resolvability parameters of quartz. We computed the resolving set for quartz structure and its variants, wherein we proved that all the variants of resolvability parameters of quartz structures are constant and do not depend on the order of the graph.

Keywords

Quartz; polycyclic aromatic hydrocarbon related structure; metric dimension; metric or distance-based resolvability parameters

Cite This Article

M. Imran, A. Ahmad, M. Azeem and K. Elahi, "Metric-based resolvability of quartz structure," Computers, Materials & Continua, vol. 71, no.1, pp. 2053–2071, 2022.

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