On \(\alpha\)-total domination in graphs

DOI10.1016/j.dam.2011.11.021zbMath1242.05204OpenAlexW129705365MaRDI QIDQ423927

Nader Jafari Rad, Michael A. Henning

Publication date: 30 May 2012

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2011.11.021

zbMATH Keywords

dominationtotal domination\(\alpha \)-domination

Mathematics Subject Classification ID

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

Related Items (3)

Graphs with diameter 2 and large total domination number ⋮ On \(\alpha\)-split domination in graphs ⋮ A note on \(\alpha\)-total domination in cubic graphs

Cites Work

• Upper bounds for \(\alpha \)-domination parameters
• Total domination of graphs and small transversals of hypergraphs
• A survey of selected recent results on total domination in graphs
• Covering all cliques of a graph
• Small transversals in hypergraphs
• \(\alpha\)-domination
• Hypergraphs with large transversal number and with edge sizes at least 3
• Some remarks on domination
• Graphs with large total domination number
• Some remarks on alpha-domination
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