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Strong metric dimension in annihilating-ideal graph of commutative rings

Applicable Algebra in Engineering, Communication and Computing, 2022
M. Jalali, R. Nikandish
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On Strong Metric Dimension of Diametrically Vertex Uniform Graphs

INTERNATIONAL JOURNAL OF COMPUTING ALGORITHM, 2014
A pair of vertices u, v is said to be strongly resolved by a vertex s, if there exist at least one shortest path from s to u passing through v, or a shortest path from s to v passing through u. A set W⊆V, is said to be a strong metric generator if for all pairs u, v ∈/ W, there exist some element s ∈ W such that s strongly resolves the pair u, v.
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On strong metric dimension of graphs and their complements

Acta Mathematica Sinica, English Series, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Strong metric dimension of clean graphs of commutative rings

Journal of Algebra and Its Applications
Let [Formula: see text] be a ring with unity. The clean graph [Formula: see text] of a ring [Formula: see text] is the simple undirected graph whose vertices are of the form [Formula: see text], where [Formula: see text] is an idempotent element and [Formula: see text] is a unit of the ring [Formula: see text], and two vertices [Formula: see text ...
Praveen Mathil, Jitender Kumar
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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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