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Matematicheskie Zametki, 2019, Volume 106, Issue 1, Pages 24–39
DOI: https://doi.org/10.4213/mzm11695 (Mi mzm11695) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Distance Graphs with Large Chromatic Number and without Cliques of Given Size in the Rational Space

Yu. A. Demidovichab

a Lomonosov Moscow State University
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
Full-text PDF (589 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm11695
Abstract: We study distance graphs with exponentially large chromatic number which do not contain cliques of prescribed size in the rational space.
Keywords: distance graph, chromatic number, clique number.
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 work was supported by the Russian Foundation for Basic Research under grant 18-01-00355 and by the Presidential Program for the State Support of Leading Scientific Schools under grant NSh-6760.2018.1.
Received: 25.05.2017
Revised: 24.05.2018
English version:
Mathematical Notes, 2019, Volume 106, Issue 1, Pages 38–51
DOI: https://doi.org/10.1134/S0001434619070046
Bibliographic databases:
Document Type: Article
UDC: 519.1
Language: Russian
Citation: Yu. A. Demidovich, “Distance Graphs with Large Chromatic Number and without Cliques of Given Size in the Rational Space”, Mat. Zametki, 106:1 (2019), 24–39; Math. Notes, 106:1 (2019), 38–51
Citation in format AMSBIB
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\pages 24--39
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Linking options:
  • https://www.mathnet.ru/eng/mzm11695
  • https://doi.org/10.4213/mzm11695
  • https://www.mathnet.ru/eng/mzm/v106/i1/p24
    • This publication is cited in the following 2 articles:
    1. Yu. A. Demidovich, M. E. Zhukovskii, “Chromatic Numbers of Distance Graphs without Short Odd Cycles in Rational Spaces”, Math. Notes, 109:5 (2021), 727–734  mathnet  crossref  crossref  isi  elib
    2. A. A. Sokolov, A. M. Raigorodskii, “O ratsionalnykh analogakh problem Nelsona–Khadvigera i Borsuka”, Chebyshevskii sb., 19:3 (2018), 270–281  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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