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Problemy Peredachi Informatsii, 2019, Volume 55, Issue 4, Pages 86–106
DOI: https://doi.org/10.1134/S0555292319040041 (Mi ppi2305) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Large Systems

On a Frankl–Wilson Theorem

A. A. Sagdeev

Laboratory of Advanced Combinatorics and Network Applications, Moscow Institute of Physics and Technology (State University), Moscow, Russia
Full-text PDF (301 kB) Citations (10)
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DOI: https://doi.org/10.1134/S0555292319040041
Abstract: We derive an analog of the Frankl–Wilson theorem on independence numbers of some distance graphs. The obtained results are applied to the problem of the chromatic number of a space $\mathbb{R}^n$ with a forbidden equilateral triangle and to the problem of chromatic numbers of distance graphs with large girth.
Keywords: distance graph, Frankl–Wilson theorem, Frankl–Rödl theorem, chromatic number, Euclidean Ramsey theory, girth.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00355_а
Ministry of Education and Science of the Russian Federation НШ-6760.2018.1
Simons Foundation
The research was supported in part by the Russian Foundation for Basic Research, project no. 18-01-00355; the President of the Russian Federation Council for State Support of Leading Scientific Schools, grant no. NSh–6760.2018.1; and the Simons Foundation.
Received: 02.07.2019
Revised: 09.10.2019
Accepted: 12.11.2019
English version:
Problems of Information Transmission, 2019, Volume 55, Issue 4, Pages 376–395
DOI: https://doi.org/10.1134/S0032946019040045
Bibliographic databases:
Document Type: Article
UDC: 629.391.1 : 519.1
Language: Russian
Citation: A. A. Sagdeev, “On a Frankl–Wilson Theorem”, Probl. Peredachi Inf., 55:4 (2019), 86–106; Problems Inform. Transmission, 55:4 (2019), 376–395
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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