Fault-Tolerant Partition Resolvability in Mesh Related Networks and Applications

Fault-tolerance of a system measures its working capability in the presence of faulty components in the system. The fault-tolerant partition dimension of a network computes the least number of subcomponents of network required to distinctively identify each node in the presence of faults, having pro...

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Bibliographic Details
Published in:IEEE access 2022, Vol.10, p.71521-71529
Main Authors: Azhar, Kamran, Zafar, Sohail, Kashif, Agha, Aljaedi, Amer, Albalawi, Umar
Format: Article
Language:English
Subjects:
Fault detection
Fault tolerance
Fault tolerant systems
fault-tolerant partition dimension
Measurement
Mesh networks
metric dimension
Networks
partition dimension
Smart cities
Topology
Triangular ladder
triangular mesh
Wireless communication
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Summary:Fault-tolerance of a system measures its working capability in the presence of faulty components in the system. The fault-tolerant partition dimension of a network computes the least number of subcomponents of network required to distinctively identify each node in the presence of faults, having promising applications in telecommunication, robot navigation and geographical routing protocols. In this paper, certain triangular mesh networks including, triangular ladder ( Tl_{s} ), triangular mesh ( T_{s} ), reflection triangular mesh ( rl(T_{s}) ), tower triangular mesh ( Tr_{s} ) and reflection tower triangular mesh ( rl(Tr_{s}) ) networks are discussed for their partition and fault-tolerant partition resolvability. In this regard, it is shown that the partition dimension of these networks is 3, whereas their fault-tolerant partition dimension is 4.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2022.3188319