Strong metric dimension in annihilating-ideal graph of commutative rings

Strong metric dimension in annihilating-ideal graph of commutative rings

In this paper, using Gallai’s Theorem and the notion of strong resolving graph, we determine the strong metric dimension in annihilating-ideal graph of commutative rings. For reduced rings, an explicit formula is given and for non-reduced rings, under some conditions, strong metric dimension is comp...

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Veröffentlicht in:Applicable algebra in engineering, communication and computing communication and computing, 2024-09, Vol.35 (5), p.615-627
Hauptverfasser: Jalali, Mitra, Nikandish, Reza
Format: Artikel
Sprache:eng
Schlagworte:
Artificial Intelligence
Commutativity
Computer Hardware
Computer Science
Original Paper
Rings (mathematics)
Symbolic and Algebraic Manipulation
Theory of Computation
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Zusammenfassung:In this paper, using Gallai’s Theorem and the notion of strong resolving graph, we determine the strong metric dimension in annihilating-ideal graph of commutative rings. For reduced rings, an explicit formula is given and for non-reduced rings, under some conditions, strong metric dimension is computed.
ISSN:0938-1279
1432-0622
DOI:10.1007/s00200-022-00574-3