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Sbornik: Mathematics, 2008, Volume 199, Issue 4, Pages 579–612
DOI: https://doi.org/10.1070/SM2008v199n04ABEH003934 (Mi sm3834) 		 
This article is cited in 24 scientific papers (total in 24 papers)

Chromatic numbers of real and rational spaces with real or rational forbidden distances

A. M. Raigorodskii, I. M. Shitova

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (466 kB) Citations (24)
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DOI: https://doi.org/10.1070/SM2008v199n04ABEH003934
Abstract: Several important aspects of the Nelson-Erdős-Hadwiger classical problem of combinatorial geometry are considered. In particular, new lower bounds are obtained for the chromatic numbers of the spaces $\mathbb{R}^n$ and $\mathbb{Q}^n$ with two, three or four forbidden distances.
Bibliography: 28 titles.
Received: 26.01.2007
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 4, Pages 107–142
DOI: https://doi.org/10.4213/sm3834
Bibliographic databases:
UDC: 519.174
MSC: Primary 52C10; Secondary 05C15, 51M99
Language: English
Original paper language: Russian
Citation: A. M. Raigorodskii, I. M. Shitova, “Chromatic numbers of real and rational spaces with real or rational forbidden distances”, Sb. Math., 199:4 (2008), 579–612
Citation in format AMSBIB
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\paper Chromatic numbers of real and rational spaces with real or rational forbidden distances
\jour Sb. Math.
\yr 2008
\vol 199
\issue 4
\pages 579--612
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  • https://www.mathnet.ru/eng/sm/v199/i4/p107
    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:732
    Russian version PDF:292
    English version PDF:38
    References:74
    First page:3
     
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