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Fault-tolerant partition resolvability of cycle with chord. [PDF]
PLoS ONEIn the realm of connected networks, distance-based parameters, particularly the partition dimension of graphs, have extensive applications across various fields, including chemistry and computer science.
Kamran Azhar +3 more
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The Application of Fault-Tolerant Partition Resolvability in Cycle-Related Graphs
Applied Sciences, 2022 The concept of metric-related parameters permeates all of graph theory and plays an important role in diverse networks, such as social networks, computer networks, biological networks and neural networks.
Kamran Azhar +4 more
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Fault-Tolerant Partition Resolvability of Cyclic Networks
Journal of Mathematics, 2021 Graph invariants provide an amazing tool to analyze the abstract structures of networks. The interaction and interconnection between devices, sensors, and service providers have opened the door for an eruption of mobile over the web applications ...
Kamran Azhar +3 more
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Fault-Tolerant Partition Resolvability in Mesh Related Networks and Applications
IEEE Access, 2022 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 ...
Kamran Azhar +4 more
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On Sharp Bounds of Fault-Tolerant Partition Dimension of Convex Polytopes
Scientific Annals of Computer ScienceGraph theory is a fundamental and powerful tool for designing and modeling networks. It plays a vital role in diverse real-world systems, including social, computer, biological, ecological, and neural networks.
Kamran Azhar, Asim Nadeem, Yilun Shang
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On Fault-Tolerant Partition Dimension of Homogeneous Caterpillar Graphs [PDF]
Mathematical Problems in Engineering, 2021 Metric-related parameters in graph theory have several applications in robotics, navigation, and chemical strata. An important such parameter is the partition dimension of graphs that plays an important role in engineering, computer science, and chemistry.
Kamran Azhar, Sohail Zafar, Agha Kashif
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Metric and fault-tolerant metric dimension for GeSbTe superlattice chemical structure. [PDF]
PLoS One, 2023 The concept of metric dimension has many applications, including optimizing sensor placement in networks and identifying influential persons in social networks, which aids in effective resource allocation and focused interventions; finding the source of ...
Liqin L +4 more
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Fault-Tolerant Metric Dimension of Circulant Graphs
Mathematics, 2022 Let G be a connected graph with vertex set V(G) and d(u,v) be the distance between the vertices u and v. A set of vertices S={s1,s2,…,sk}⊂V(G) is called a resolving set for G if, for any two distinct vertices u,v∈V(G), there is a vertex si∈S such that d ...
Laxman Saha +2 more
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Edge Metric and Fault-Tolerant Edge Metric Dimension of Hollow Coronoid
Mathematics, 2021 Geometric arrangements of hexagons into six sides of benzenoids are known as coronoid systems. They are organic chemical structures by definition. Hollow coronoids are divided into two types: primitive and catacondensed coronoids.
Ali N A Koam +2 more
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On the Fault Tolerant Partition Resolvability of Toeplitz Networks
Mathematical Problems in Engineering, 2022 In any interconnection network, fault tolerance is the most desirable property to achieve reliability. Toeplitz networks are used as interconnection networks due their smaller diameter, symmetry, simpler routing, high connectivity, and reliability.
Asim Nadeem +3 more
semanticscholar +1 more source