On the total \(k\)-domination in graphs

DOI10.7151/dmgt.2016zbMath1377.05137OpenAlexW2766096102MaRDI QIDQ1692651

Sergio Bermudo, Juan C. Hernández-Gómez, José María Sigarreta-Almira

Publication date: 10 January 2018

Published in: Discussiones Mathematicae. Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7151/dmgt.2016

zbMATH Keywords

\(k\)-tuple total domination\(k\)-tuple domination\(k\)-dominationtotal \(k\)-domination

Mathematics Subject Classification ID

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

Related Items (11)

On the global total $k$-domination number of graphs ⋮ Total $k$-domination in strong product graphs ⋮ \(k\)-domination and total \(k\)-domination numbers in catacondensed hexagonal systems ⋮ Algorithm and hardness results on neighborhood total domination in graphs ⋮ Total \(k\)-domination in Cartesian product graphs ⋮ Relating the total \(\{2\}\)-domination number with the total domination number of graphs ⋮ On \(f\)-domination: polyhedral and algorithmic results ⋮ Multiple Domination ⋮ Unnamed Item ⋮ On disjunctive domination in graphs ⋮ New bounds on the double total domination number of graphs

Cites Work

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• A survey of selected recent results on total domination in graphs
• Total \(k\)-domination in Cartesian product graphs
• \(k\)-tuple total domination in cross products of graphs
• On the total k-domination number of graphs
• Total Domination in Graphs
• K-tuple total domination in inflated graphs
• On Double Domination in Graphs
• Some results on total domination in direct products of graphs
• On domination and annihilation in graphs with claw-free blocks

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