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Diskretnaya Matematika, 2021, Volume 33, Issue 4, Pages 32–46
DOI: https://doi.org/10.4213/dm1676 (Mi dm1676) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the concentration of the independence numbers of random hypergraphs

I. O. Denisova, D. A. Shabanovba

a Lomonosov Moscow State University
b Moscow Institute of Physics and Technology
Full-text PDF (480 kB) Citations (4)
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DOI: https://doi.org/10.4213/dm1676
Abstract: The asymptotic behavior of general independence numbers of random hypergraphs for the binomial model is studied. We prove that for some types of parameter variations the distribution of independence numbers is concentrated on two neighboring values.
Keywords: random hypergraph, independence number, second moment method.
Funding agency Grant number
Russian Foundation for Basic Research 20-31-70039
Received: 14.04.2021
English version:
Discrete Mathematics and Applications, 2023, Volume 33, Issue 1, Pages 7–18
DOI: https://doi.org/10.1515/dma-2023-0002
Document Type: Article
UDC: 519.179.1+519.179.4+519.214
Language: Russian
Citation: I. O. Denisov, D. A. Shabanov, “On the concentration of the independence numbers of random hypergraphs”, Diskr. Mat., 33:4 (2021), 32–46; Discrete Math. Appl., 33:1 (2023), 7–18
Citation in format AMSBIB
\Bibitem{DenSha21}
\by I.~O.~Denisov, D.~A.~Shabanov
\paper On the concentration of the independence numbers of random hypergraphs
\jour Diskr. Mat.
\yr 2021
\vol 33
\issue 4
\pages 32--46
\mathnet{http://mi.mathnet.ru/dm1676}
\crossref{https://doi.org/10.4213/dm1676}
\transl
\jour Discrete Math. Appl.
\yr 2023
\vol 33
\issue 1
\pages 7--18
\crossref{https://doi.org/10.1515/dma-2023-0002}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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