AUTHOR=Hussain Zafar , Munir Muhammad Mobeen 

TITLE=Fault-tolerance in metric dimension of boron nanotubes lattices

JOURNAL=Frontiers in Computational Neuroscience

VOLUME=Volume 16 - 2022

YEAR=2023

URL=https://www.frontiersin.org/journals/computational-neuroscience/articles/10.3389/fncom.2022.1023585

DOI=10.3389/fncom.2022.1023585

ISSN=1662-5188

ABSTRACT=. Concept of resolving set and metric basis has enjoyed a lot
of success 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 fault-tolerant self-stable system. Recent
research reveal that the problem of finding metric dimension is NPhard and 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 the present article we compute closed formulas
for the fault-tolerant metric dimension two types of Boron nanotubes,
namely truiangular and alpha. We come to a conclusion that both tubes
have constant fault tolerance metric dimension 4.