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Strong resolving graph of a zero-divisor graph
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2022In this paper, the authors determine the structure of the strong resolving graph of the zero divisor graph \(\Gamma(R)\) of a commutative ring \(R\). The zero-divisor graph \(\Gamma(R)\) of a commutative unital ring \(R\) is the (simple undirected) graph whose vertex set is all nonzero zero divisors of \(R\) and two distinct vertices are joined by an ...
Reza Nikandish +2 more
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On resolving strong domination number of several graph classes
AIP Conference Proceedings, 2023, Agustin Ika Hesti
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On the strong metric dimension of Cartesian and direct products of graphs [PDF]
Discrete Mathematics, 2014 Let $G$ be a connected graph. A vertex $w$ {\em strongly resolves} a pair $u, v$ of vertices of $G$ if there exists some shortest $u-w$ path containing $v$ or some shortest $v-w$ path containing $u$. A set $W$ of vertices is a {\em strong resolving set}
Dorota Kuziak +2 more
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Strong resolving graph and strong metric dimension of a compressed zero divisor graph
Journal of Algebra and Its ApplicationsLet [Formula: see text] be a commutative ring with [Formula: see text] and [Formula: see text] be the set of zero-divisors of [Formula: see text]. The relation on [Formula: see text] given by [Formula: see text] if and only if [Formula: see text] is an equivalence relation, where [Formula: see text].
M. Khazaee, M. Maghasedi, F. Heydari
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DETERMINING FUZZY LABELING OF A WHEEL GRAPH AND ITS STRONG FUZZY RESOLVING SET
Far East Journal of Mathematical Sciences (FJMS)Given a fuzzy set on , a graph is called a fuzzy labeling graph if and are bijective membership functions such that every vertex and edge receive a unique membership degree and satisfies for . A graph formed from a single vertex connected to the vertices of a cycle of length is called a wheel graph.
Isnaini Rosyida +4 more
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On Strong Fuzzy Resolving Set of Fuzzy Wheel Graphs
Advances in Nonlinear Variational InequalitiesLet Image be a fuzzy set on Image. A fuzzy labeling graph Image is a graph with bijective membership functions Image and Image so that each vertex’s membership degree and every edge’s membership value are different. Further, it satisfies Image for Image. “A graph formed from a single vertex connected to the vertices of a cycle of length Image is called
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Optimal Multi-Level Fault-Tolerant Resolving Sets of Circulant Graph C(n : 1, 2)
Mathematics, 2023YILUN Shang +2 more
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Strong metric dimension in annihilating-ideal graph of commutative rings
Applicable Algebra in Engineering, Communications and Computing, 2022exaly