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Metric and strong metric dimension of essential annihilating-ideal graph of commutative rings
Discrete Mathematics, Algorithms and ApplicationsThe (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 AnalysisThe 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 ComputingR. Shahriyari +3 more
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Metric and strong metric dimension in commuting graphs of finite groups
Communications in Algebra, 2023Xuanlong
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The strong metric dimension of the power graph of a finite group
Discrete Applied Mathematics, 2018Xuanlong, Min Feng
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Minimal doubly resolving sets and the strong metric dimension of some convex polytopes
Applied Mathematics and Computation, 2012Jozef Kratica +2 more
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On the strong metric dimension of corona product graphs and join graphs
Discrete Applied Mathematics, 2013Dorota Kuziak +2 more
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On the strong metric dimension of Cartesian and direct products of graphs
Discrete Mathematics, 2014Juan A Rodríguez-Velázquez +2 more
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Strong metric dimension of rooted product graphs
International Journal of Computer Mathematics, 2016Dorota Kuziak +2 more
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