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Matematicheskie Zametki, 2018, Volume 103, Issue 1, Pages 38–48
DOI: https://doi.org/10.4213/mzm11508 (Mi mzm11508) 		 
This article is cited in 13 scientific papers (total in 13 papers)

On the Number of Independent Sets in Simple Hypergraphs

A. Balobanova, D. A. Shabanovabc

a Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
b Lomonosov Moscow State University
c National Research University "Higher School of Economics" (HSE), Moscow
Full-text PDF (483 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm11508
Abstract: Extremal problems on the number of $j$-independent sets in homogeneous simple hypergraphs are studied. Nearly optimal results on the maximum number of independent sets for the class of simple regular hypergraphs and on the minimum number of independent sets for the class of simple hypergraphs with given mean degree of vertices are obtained.
Keywords: hypergraph, simple hypergraph, $j$-independent set, method of containers.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03530-a
Ministry of Education and Science of the Russian Federation MД-5650.2016.1
Received: 27.12.2016
English version:
Mathematical Notes, 2018, Volume 103, Issue 1, Pages 33–41
DOI: https://doi.org/10.1134/S0001434618010042
Bibliographic databases:
Document Type: Article
UDC: 519.179.1+519.176
Language: Russian
Citation: A. Balobanov, D. A. Shabanov, “On the Number of Independent Sets in Simple Hypergraphs”, Mat. Zametki, 103:1 (2018), 38–48; Math. Notes, 103:1 (2018), 33–41
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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