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Izvestiya: Mathematics, 2018, Volume 82, Issue 6, Pages 1196–1224
DOI: https://doi.org/10.1070/IM8630 (Mi im8630) 		 
This article is cited in 12 scientific papers (total in 12 papers)

On the Frankl–Rödl theorem

A. Sagdeev

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
English version PDF (413 kB) Citations (12)
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DOI: https://doi.org/10.1070/IM8630
Abstract: In this paper we considerably strengthen the currently known explicit exponential lower bound for the chromatic number of a Euclidean space with a forbidden regular simplex. We also strengthen the exponential lower bound for the chromatic numbers of distance graphs with large girth.
Keywords: Frankl–Rödl theorem, Euclidean Ramsey theory, distance graph, chromatic number, girth.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00355
Ministry of Education and Science of the Russian Federation НШ-6760.2018.1
This paper was written with the partial financial support of the Russian Foundation for Basic Research (grant no. 18-01-00355) and that of the grant in support of leading scientific schools no. NSh-6760.2018.1.
Received: 18.11.2016
Revised: 09.04.2018
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2018, Volume 82, Issue 6, Pages 128–157
DOI: https://doi.org/10.4213/im8630
Bibliographic databases:
Document Type: Article
UDC: 517
MSC: 05C15, 05C12, 05D10
Language: English
Original paper language: Russian
Citation: A. Sagdeev, “On the Frankl–Rödl theorem”, Izv. RAN. Ser. Mat., 82:6 (2018), 128–157; Izv. Math., 82:6 (2018), 1196–1224
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM8630
  • https://www.mathnet.ru/eng/im/v82/i6/p128
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:393
    Russian version PDF:45
    English version PDF:15
    References:46
    First page:19
     
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