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Paired-domination number of a graph and its complement

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Publication:998404
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DOI10.1016/j.disc.2007.11.034zbMath1181.05067OpenAlexW1982249589MaRDI QIDQ998404

Seyyed Mahmoud Sheikholeslami, Hossein Karami, Odile Favaron

Publication date: 28 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2007.11.034


zbMATH Keywords

paired-domination numberNordhaus-Gaddum inequalities


Mathematics Subject Classification ID

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


Related Items

Paired-domination subdivision numbers of graphs ⋮ Cubic graphs have paired-domination number at most four-seventh of their orders ⋮ Inequality of Nordhaus-Gaddum type for total outer-connected domination in graphs ⋮ Graphs with maximum size and given paired-domination number ⋮ An upper bound on the paired-domination number in terms of the number of edges in the graph ⋮ Paired Domination in Graphs ⋮ A proof of a conjecture on the paired-domination subdivision number



Cites Work

  • Graphs with large paired-domination number
  • Paired-domination in graphs
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