Fault-tolerance in metric dimension of boron nanotubes lattices

Hussain, Zafar and Munir, Muhammad Mobeen (2023) Fault-tolerance in metric dimension of boron nanotubes lattices. Frontiers in Computational Neuroscience, 16. ISSN 1662-5188

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Abstract

The concept of resolving set and metric basis has been very successful because of multi-purpose applications both in computer and mathematical sciences. A system in which failure of any single unit, another chain of units not containing the faulty unit can replace the originally used chain is called a fault-tolerant self-stable system. Recent research studies reveal that the problem of finding metric dimension is NP-hard for general graphs and the problem of computing the exact values of fault-tolerant metric dimension seems to be even harder although some bounds can be computed rather easily. In this article, we compute closed formulas for the fault-tolerant metric dimension of lattices of two types of boron nanotubes, namely triangular and alpha boron. These lattices are formed by cutting the tubes vertically. We conclude that both tubes have constant fault tolerance metric dimension 4.

Item Type: Article
Subjects: Science Global Plos > Medical Science
Depositing User: Unnamed user with email support@science.globalplos.com
Date Deposited: 27 Mar 2023 09:08
Last Modified: 29 Feb 2024 04:27
URI: http://ebooks.manu2sent.com/id/eprint/392

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