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A Unified Framework for Fault‐Tolerant Metric Dimension of Layered Sequential Join Graphs With Applications to Hierarchical Networks

Expert systems
Fault‐tolerant monitoring and reliable node identification are essential requirements in modern hierarchical communication systems such as IoT–Fog–Cloud architectures and distributed sensing networks. The fault‐tolerant metric dimension (FTMD) provides
Ghulam Haidar   +5 more
semanticscholar   +1 more source

Fault-tolerant dominant metric dimension of graphs

Asian-European Journal of Mathematics
The behavior of a graph via distance-based parameters has been widely used in various applications of daily life problems and in diverse disciplines including operation research, drug discovery, sensor networking, source localization, comparing interconnected networks, detection of network motifs, robot navigation, and image processing.
Imtiaz Ali, Muhammad Javaid, Yilun Shang
openaire   +1 more source

Fault-tolerant metric dimension of annihilator graphs of commutative rings

Summary: Let \(R\) be a commutative ring with identity. The annihilator graph \(AG (R)\) is a simple graph with vertex set as the set of all non-zero zero-divisors of \(R\), and two distinct vertices \(a\) and \(b\) are adjacent if and only if \(ann_R (a) \cup ann_R (b) \neq ann_R (a \cdot b)\).
M S, AKHILA, K, Manilal
openaire   +2 more sources

Metric Dimension and Fault Tolerant Variants of Certain Johnson Graphs J(n, 3) Using Extended BIGS Algorithm

2025 1st International Conference on Emerging Innovation and Digital Technology (ICEIDT)
Johnson graphs J(n, k) are well-studied class of combinatorial graphs, arising naturally in coding theory, design theory, and interconnection networks due to their rich symmetry and structural properties.
Libin Bright J M, S. F
semanticscholar   +1 more source

Extended BIGS Algorithm to Find All Possible Metric Bases and Fault Tolerant Metric Bases in Certain Johnson Graphs for Error-Correcting Code Design

2026 Sixth International Conference on Advances in Electrical, Computing, Communications and Sustainable Technologies (ICAECT)
Efficient and fault-tolerant communication networks demand topologies that can uniquely identify nodes and recover from single-point failures. The metric dimension of a graph provides a mathematical foundation for such identification using carefully ...
Abigail M V, S. F
semanticscholar   +1 more source

On Metric Dimension and Fault Tolerant Metric Dimension of Some Chemical Structures

Polycyclic Aromatic Compounds, 2022
Muhammad Faisal Nadeem   +2 more
exaly  

Fault-tolerant metric dimension of zero-divisor graphs of commutative rings

AKCE International Journal of Graphs and Combinatorics, 2022
Vijay Kumar Bhat
exaly  

Fault-tolerant metric dimension of some plane graphs

Discrete and Continuous Dynamical Systems. Series A
Kairui Nie   +3 more
semanticscholar   +1 more source

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