On global defensive k-alliances in zero-divisor graphs of finite commutative rings

DOI10.1142/S021949882350127XzbMath1520.13040arXiv2107.08418OpenAlexW4221062837MaRDI QIDQ6104115

Khalid Ouarghi, Brahim El Alaoui, Driss Bennis

Publication date: 28 June 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.08418

zbMATH Keywords

dominating setzero-divisor graphdefensive allianceglobal defensive \(k\)-alliance

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structure of finite commutative rings (13M05)

Cites Work

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• On the diameter and girth of a zero-divisor graph
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• Global defensive alliances in graphs
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• Zero-divisor graphs of idealizations
• On the Zero-Divisor Graph of a Ring
• THE ZERO-DIVISOR GRAPH OF VON NEUMANN REGULAR RINGS
• Topics in Domination in Graphs
• On defensive alliance in zero-divisor graphs
• Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings

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