Upper bounds on the signed (\(k, k\))-domatic number

DOI10.1007/S00010-013-0189-7zbMath1278.05182OpenAlexW2076043517MaRDI QIDQ387615

Lutz Volkmann

Publication date: 23 December 2013

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-013-0189-7

zbMATH Keywords

regular graphssigned (\(k, k\))-domatic numberssigned \(k\)-dominating functionsigned \(k\)-domination number

Mathematics Subject Classification ID

Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Signed and weighted graphs (05C22)

Cites Work

• Bounds on the signed domatic number
• The signed domatic number of some regular graphs
• Some remarks on the signed domatic number of graphs with small minimum degree
• Inequalities relating domination parameters in cubic graphs
• Some remarks on domination in cubic graphs
• Signed domination in regular graphs
• Signed domatic number of a graph
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