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Teoriya Veroyatnostei i ee Primeneniya, 2019, Volume 64, Issue 1, Pages 75–97
DOI: https://doi.org/10.4213/tvp5165 (Mi tvp5165) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Two-colorings of a random hypergraph

A. S. Semenovab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
Full-text PDF (507 kB) Citations (9)
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DOI: https://doi.org/10.4213/tvp5165
Abstract: The paper is concerned with the study of the threshold probability for the existence of a two-coloring for a special random $k$-uniform hypergraph in a binomial model. The first- and second-moment methods are employed to derive upper and lower estimates for the desired threshold probability.
Keywords: hypergraph, colorings of a hypergraph, $j$-chromatic number.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00348
This work was supported by the Russian Foundation for Basic Research (grant 18-31-00348).
Received: 16.09.2017
Revised: 23.11.2018
Accepted: 26.11.2018
English version:
Theory of Probability and its Applications, 2019, Volume 64, Issue 1, Pages 59–77
DOI: https://doi.org/10.1137/S0040585X97T989398
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. S. Semenov, “Two-colorings of a random hypergraph”, Teor. Veroyatnost. i Primenen., 64:1 (2019), 75–97; Theory Probab. Appl., 64:1 (2019), 59–77
Citation in format AMSBIB
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  • https://doi.org/10.4213/tvp5165
  • https://www.mathnet.ru/eng/tvp/v64/i1/p75
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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