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Problemy Peredachi Informatsii, 2018, Volume 54, Issue 4, Pages 82–109 (Mi ppi2282)  
This article is cited in 14 scientific papers (total in 14 papers)

Large Systems

Exponentially Ramsey sets

A. A. Sagdeev

Laboratory of Advanced Combinatorics and Network Applications, Moscow Institute of Physics and Technology (State University), Moscow, Russia
Full-text PDF (329 kB) Citations (14)
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Abstract: We study chromatic numbers of spaces $\mathbb{R}^n_p=(\mathbb{R}^n, \ell_p)$ with forbidden monochromatic sets. For some sets, we for the first time obtain explicit exponentially growing lower bounds for the corresponding chromatic numbers; for some others, we substantially improve previously known bounds.
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
Supported in part by the Russian Foundation for Basic Research, project no. 18-01-00355, and the President of the Russian Federation Council for State Support of Leading Scientific Schools, grant no. NSh-6760.2018.1.
Received: 08.12.2017
Revised: 17.06.2018
Accepted: 13.11.2018
English version:
Problems of Information Transmission, 2018, Volume 54, Issue 4, Pages 372–396
DOI: https://doi.org/10.1134/S0032946018040051
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519.1
Language: Russian
Citation: A. A. Sagdeev, “Exponentially Ramsey sets”, Probl. Peredachi Inf., 54:4 (2018), 82–109; Problems Inform. Transmission, 54:4 (2018), 372–396
Citation in format AMSBIB
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    • This publication is cited in the following 14 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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    Abstract page:201
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    References:26
    First page:12
     
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