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Secure Italian domination in graphs

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Publication:2025095
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DOI10.1007/s10878-020-00658-1zbMath1464.05285OpenAlexW3097295197MaRDI QIDQ2025095

Juan Alberto Rodríguez-Velázquez, Magdalena Lemańska, Magda Dettlaff

Publication date: 11 May 2021

Published in: Journal of Combinatorial Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10878-020-00658-1


zbMATH Keywords

domination numbersecure domination numberItalian dominationsecure Italian domination


Mathematics Subject Classification ID

Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)


Related Items (1)

From (secure) \(w\)-domination in graphs to protection of lexicographic product graphs



Cites Work

  • Roman \(\{2 \}\)-domination
  • Italian domination in trees
  • Bounds on weak Roman and 2-rainbow domination numbers
  • Roman domination in graphs.
  • Defending the Roman Empire---a new strategy
  • On secure domination in graphs
  • On the weak Roman domination number of lexicographic product graphs
  • Vertex Covers and Secure Domination in Graphs
  • Secure domination and secure total domination in graphs
  • Protection of graphs with emphasis on Cartesian product graphs
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