On the independent domination number of regular graphs
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Publication:1929752
DOI10.1007/s00026-012-0155-4zbMath1256.05169OpenAlexW2014959271MaRDI QIDQ1929752
Jeremy Lyle, Michael A. Henning, Justin Southey, Wayne Goddard
Publication date: 9 January 2013
Published in: Annals of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://aquila.usm.edu/cgi/viewcontent.cgi?article=8741&context=fac_pubs
Extremal problems in graph theory (05C35) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)
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Cites Work
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- Linear programming and the worst-case analysis of greedy algorithms on cubic graphs
- The independent domination number of a cubic 3-connected graph can be much larger than its domination number
- What is the difference between the domination and independent domination numbers of a cubic graph?
- Two relations between the parameters of independence and irredundance
- The product of the independent domination numbers of a graph and its complement
- On minimum maximal independent sets of a graph
- On independent domination number of regular graphs
- Disproof of a conjecture in the domination theory
- Nordhaus--Gaddum bounds for independent domination
- On a Nordhaus-Gaddum type problem for independent domination
- Independent domination in regular graphs
- A counterexample to conjecture of Barefoot, Harary, and Jones
- Independent sets in regular graphs
- Upper bounds for independent domination in regular graphs
- On hitting all maximum cliques with an independent set
- Towards a theory of domination in graphs