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Problemy Peredachi Informatsii, 2014, Volume 50, Issue 4, Pages 43–54 (Mi ppi2152)  
This article is cited in 3 scientific papers (total in 3 papers)

Large Systems

Minimum number of edges in a hypergraph guaranteeing a perfect fractional matching and the MMS conjecture

V. M. Blinovskyab

a Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo, Brazil
b Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (183 kB) Citations (3)
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Abstract: In this paper we prove the Ahlswede–Khachatrian conjecture [1] up to a finite number of cases, which can be checked using modern computers. This conjecture implies the conjecture from [2] and the Manickam–Miklós–Singhi conjecture.
Received: 10.02.2014
Revised: 25.08.2014
English version:
Problems of Information Transmission, 2014, Volume 50, Issue 4, Pages 340–349
DOI: https://doi.org/10.1134/S0032946014040048
Bibliographic databases:
Document Type: Article
UDC: 621.391.1+519.1
Language: Russian
Citation: V. M. Blinovsky, “Minimum number of edges in a hypergraph guaranteeing a perfect fractional matching and the MMS conjecture”, Probl. Peredachi Inf., 50:4 (2014), 43–54; Problems Inform. Transmission, 50:4 (2014), 340–349
Citation in format AMSBIB
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\by V.~M.~Blinovsky
\paper Minimum number of edges in a~hypergraph guaranteeing a~perfect fractional matching and the MMS conjecture
\jour Probl. Peredachi Inf.
\yr 2014
\vol 50
\issue 4
\pages 43--54
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\transl
\jour Problems Inform. Transmission
\yr 2014
\vol 50
\issue 4
\pages 340--349
\crossref{https://doi.org/10.1134/S0032946014040048}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84920565018}
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  • https://www.mathnet.ru/eng/ppi/v50/i4/p43
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    References:47
    First page:18
     
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