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Metric and strong metric dimension of essential annihilating-ideal graph of commutative rings

Discrete Mathematics, Algorithms and Applications
The (strong) metric dimension of a connected graph [Formula: see text] is the cardinal number of a (strong) metric basis in [Formula: see text], i.e., the smallest subset of vertices which can determine the position of each vertex by its vector of distances with respect to itself in a unique way (the smallest subset of vertices such that for every ...
M. Mehrara, M. J. Nikmehr, R. Nikandish
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Fault-Tolerant Strong Metric Dimension of Rooted Product Graphs

Communications on Applied Nonlinear Analysis
The concept of fault tolerance in graph theory is critical in designing robust networks, ensuring that essential graph properties are preserved despite failures of vertices or edges. In this paper, we investigate the fault-tolerant strong metric dimension of rooted product graphs, a class of graphs derived by attaching multiple copies of a rooted graph
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Metric dimension and strong metric dimension in annihilator-ideal graphs

Applicable Algebra in Engineering, Communication and Computing
R. Shahriyari   +3 more
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The strong metric dimension of the power graph of a finite group

Discrete Applied Mathematics, 2018
Xuanlong, Min Feng
exaly  

Minimal doubly resolving sets and the strong metric dimension of some convex polytopes

Applied Mathematics and Computation, 2012
Jozef Kratica   +2 more
exaly  

On the strong metric dimension of corona product graphs and join graphs

Discrete Applied Mathematics, 2013
Dorota Kuziak   +2 more
exaly  

On the strong metric dimension of Cartesian and direct products of graphs

Discrete Mathematics, 2014
Juan A Rodríguez-Velázquez   +2 more
exaly  

Strong metric dimension of rooted product graphs

International Journal of Computer Mathematics, 2016
Dorota Kuziak   +2 more
exaly  

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