Total double Roman domination in graphs

DOI10.22049/cco.2019.26484.1118zbMath1449.05200OpenAlexW2962825745MaRDI QIDQ5212897

Doost Ali Mojdeh, Lutz Volkmann, Guoliang Hao

Publication date: 30 January 2020

Full work available at URL: http://comb-opt.azaruniv.ac.ir/article_13945_dce686282b94fcb96a05edec316a45ef.pdf

zbMATH Keywords

dominationtotal dominationdouble Roman dominationtotal double Roman dominationtotal Roman domination

Mathematics Subject Classification ID

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

Related Items (20)

Algorithmic aspects of total Roman and total double Roman domination in graphs ⋮ Further progress on the total Roman \(\{2\}\)-domination number of graphs ⋮ Unnamed Item ⋮ On the outer independent double Roman domination number ⋮ Triple Roman domination in graphs ⋮ On the outer independent total double Roman domination in graphs ⋮ Total double Roman domination numbers in digraphs ⋮ An improved upper bound on the independent double Roman domination number of trees ⋮ Roman \(\{ 3 \}\)-domination (double Italian domination) ⋮ Outer independent double Italian domination: Complexity, characterization ⋮ Perfect double Italian domination of a graph ⋮ New results on quadruple Roman domination in graphs ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Double Roman reinforcement number in graphs ⋮ Quadruple Roman domination in graphs ⋮ Algorithmic aspects of total Roman {3}-domination in graphs ⋮ Double Roman domination in graphs with minimum degree at least two and no \(C_5\)-cycle

Cites Work

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• Unnamed Item
• Improved upper bounds on the domination number of graphs with minimum degree at least five
• Double Roman domination
• A survey of selected recent results on total domination in graphs
• Some progress on the double Roman domination in graphs
• Nordhaus-Gaddum bounds for total Roman domination
• Total domination versus domination in cubic graphs
• Double Roman domination in trees
• On the double Roman domination in graphs
• Double Roman domination and domatic numbers of graphs
• Lower bound on the domination number of a tree
• Total Domination in Graphs
• Total Roman domination in graphs

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