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Mat. Zametki, 2019, Volume 106, Issue 1, Pages 24–39 (Mi mz11695)  

This article is cited in 1 scientific paper (total in 1 paper)

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

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.


DOI: https://doi.org/10.4213/mzm11695

Full text: PDF file (589 kB)
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English version:
Mathematical Notes, 2019, 106:1, 38–51

Bibliographic databases:

UDC: 519.1
Received: 25.05.2017
Revised: 24.05.2018

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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\jour Mat. Zametki
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\pages 24--39
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\transl
\jour Math. Notes
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\vol 106
\issue 1
\pages 38--51
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  • https://doi.org/10.4213/mzm11695
  • http://mi.mathnet.ru/eng/mz/v106/i1/p24

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. A. Sokolov, A. M. Raigorodskii, “O ratsionalnykh analogakh problem Nelsona–Khadvigera i Borsuka”, Chebyshevskii sb., 19:3 (2018), 270–281  mathnet  crossref  elib
  • Математические заметки Mathematical Notes
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