Some results on Vizing's conjecture and related problems
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Publication:714041
DOI10.1016/j.dam.2012.06.011zbMath1251.05126OpenAlexW2057526543WikidataQ123241675 ScholiaQ123241675MaRDI QIDQ714041
Michał Pilipczuk, Marcin Pilipczuk, Riste Škrekovski
Publication date: 19 October 2012
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.dam.2012.06.011
Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Graph operations (line graphs, products, etc.) (05C76)
Related Items (6)
Upper bound on 3-rainbow domination in graphs with minimum degree 2 ⋮ A new framework to approach Vizing's conjecture ⋮ Domination parameters with number 2: interrelations and algorithmic consequences ⋮ General upper bounds on independent \(k\)-rainbow domination ⋮ Bounding the \(k\)-rainbow total domination number ⋮ Rainbow Domination in Graphs
Cites Work
- On integer domination in graphs and Vizing-like problems
- Rainbow domination in graphs
- On the \(\{k\}\)-domination number of Cartesian products of graphs
- Fractional domination of strong direct products
- An inequality related to Vizing's conjecture
- Vizing-like conjecture for the upper domination of Cartesian products of graphs -- the proof
- On Vizing's conjecture
- Vizing's conjecture: a survey and recent results
- Domination, Fractional Domination, 2-Packing, and Graph Products
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