From Italian domination in lexicographic product graphs to w-domination in graphs

DOI10.26493/1855-3974.2318.fb9zbMath1486.05224arXiv2011.05371OpenAlexW3161019916MaRDI QIDQ5066972

Alejandro Estrada-Moreno, Abel Cabrera Martínez, Juan Alberto Rodríguez-Velázquez

Publication date: 31 March 2022

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.05371

zbMATH Keywords

\(k\)-tuple domination\(k\)-dominationItalian domination\(w\)-dominationlexicographic product graph

Mathematics Subject Classification ID

Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Graph operations (line graphs, products, etc.) (05C76)

Related Items (2)

From \(w\)-domination in graphs to domination parameters in lexicographic product graphs ⋮ Relating the total \(\{2\}\)-domination number with the total domination number of graphs

Cites Work

• Roman \(\{2 \}\)-domination
• Italian domination in trees
• \(k\)-tuple total domination in graphs
• Double domination in lexicographic product graphs
• On integer domination in graphs and Vizing-like problems
• Variations of \(Y\)-dominating functions on graphs
• On the \(\{k\}\)-domination number of Cartesian products of graphs
• Generalized domination and efficient domination in graphs
• Total Roman \(\{2\}\)-dominating functions in graphs
• Total Domination in Graphs
• Total Roman {2}-domination in graphs
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