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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
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
Citation:
A. M. Raigorodskii, I. M. Shitova, “Chromatic numbers of real and rational spaces with real or rational forbidden distances”, Mat. Sb., 199:4 (2008), 107–142; Sb. Math., 199:4 (2008), 579–612
Linking options:
https://www.mathnet.ru/eng/sm3834https://doi.org/10.1070/SM2008v199n04ABEH003934 https://www.mathnet.ru/eng/sm/v199/i4/p107
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Abstract page: | 730 | Russian version PDF: | 290 | English version PDF: | 37 | References: | 73 | First page: | 3 |
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