Further results on the \([k]\)-Roman domination in graphs

DOI10.1007/S41980-024-00872-1zbMATH Open1542.05142MaRDI QIDQ6563288

J. Carlos Valenzuela-Tripodoro, Maria Antonia Mateos-Camacho, Maria Pilar Álvarez-Ruiz, Martin Cera Lopez

Publication date: 27 June 2024

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Roman dominationdouble Roman dominationtriple Roman dominationquadruple Roman domination

Mathematics Subject Classification ID

Graph labelling (graceful graphs, bandwidth, etc.) (05C78) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Cites Work

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• Double Roman domination
• Roman domination in graphs.
• Mixed Roman domination in graphs
• Double Roman domination in generalized Petersen graphs
• Further progress on the total Roman \(\{2\}\)-domination number of graphs
• On the double Roman domination in graphs
• Triple Roman domination in graphs
• Extremal Problems for Roman Domination
• Double Roman domination and domatic numbers of graphs
• Quadruple Roman domination in graphs
• An upper bound on the double Roman domination number
• On [ k ] -Roman domination in graphs

Related Items (1)

Complexity issues concerning the quadruple Roman domination problem in graphs

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