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Matematicheskie Zametki, 2016, Volume 99, Issue 5, Pages 783–787
DOI: https://doi.org/10.4213/mzm11140 (Mi mzm11140) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Brief Communications

Estimate for the Chromatic Number of Euclidean Space with Several Forbidden Distances

A. V. Berdnikov

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
Full-text PDF (314 kB) Citations (11)
References:
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DOI: https://doi.org/10.4213/mzm11140
Keywords: chromatic number with forbidden distances, metric space, independence number, Bertrand postulate.
Received: 31.12.2014
English version:
Mathematical Notes, 2016, Volume 99, Issue 5, Pages 774–778
DOI: https://doi.org/10.1134/S0001434616050151
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Berdnikov, “Estimate for the Chromatic Number of Euclidean Space with Several Forbidden Distances”, Mat. Zametki, 99:5 (2016), 783–787; Math. Notes, 99:5 (2016), 774–778
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm11140
  • https://doi.org/10.4213/mzm11140
  • https://www.mathnet.ru/eng/mzm/v99/i5/p783
    • This publication is cited in the following 11 articles:
    1. Felipe Gonçalves, Guilherme Vedana, “Sphere packings in Euclidean space with forbidden distances”, Forum of Mathematics, Sigma, 13 (2025)  crossref
    2. Eric Naslund, “The chromatic number of RnRn with multiple forbidden distances”, Mathematika, 69:3 (2023), 692  crossref
    3. 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
    4. L. I. Bogolubsky, A. M. Raigorodskii, “A Remark on Lower Bounds for the Chromatic Numbers of Spaces of Small Dimension with Metrics ℓ1 and ℓ2”, Math. Notes, 105:2 (2019), 180–203  mathnet  crossref  crossref  mathscinet  isi  elib
    5. A. V. Bobu, A. E. Kupriyanov, “Refinement of Lower Bounds of the Chromatic Number of a Space with Forbidden One-Color Triangles”, Math. Notes, 105:3 (2019), 329–341  mathnet  crossref  crossref  mathscinet  isi  elib
    6. Yu. A. Demidovich, “Distance Graphs with Large Chromatic Number and without Cliques of Given Size in the Rational Space”, Math. Notes, 106:1 (2019), 38–51  mathnet  crossref  crossref  mathscinet  isi  elib
    7. A. V. Berdnikov, “Chromatic numbers of distance graphs with several forbidden distances and without cliques of a given size”, Problems Inform. Transmission, 54:1 (2018), 70–83  mathnet  crossref  isi  elib
    8. L. E. Shabanov, A. M. Raigorodskii, “Turan-type bounds for distance graphs”, Dokl. Math., 96:1 (2017), 351–353  crossref  mathscinet  zmath  isi  scopus
    9. A. V. Bobu, A. E. Kupriyanov, A. M. Raigorodskii, “On the number of edges of a uniform hypergraph with a range of allowed intersections”, Problems Inform. Transmission, 53:4 (2017), 319–342  mathnet  crossref  isi  elib
    10. Lev Shabanov, Andrei Raigorodskii, “TURANOVSKIE OTsENKI DLYa DISTANTsIONNYKh GRAFOV”, Doklady Akademii nauk, 2017, no. 3, 254  crossref
    11. A. V. Berdnikov, “Chromatic number with several forbidden distances in the space with the ℓq-metric”, Journal of Mathematical Sciences, 227:4 (2017), 395–401  mathnet  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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