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Matematicheskie Zametki, 2019, Volume 105, Issue 3, Pages 349–363
DOI: https://doi.org/10.4213/mzm11875 (Mi mzm11875) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Refinement of Lower Bounds of the Chromatic Number of a Space with Forbidden One-Color Triangles

A. V. Bobu, A. E. Kupriyanov

Lomonosov Moscow State University
Full-text PDF (553 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm11875
Abstract: The present paper deals with estimates of the chromatic number of a space with forbidden one-color triangles. New lower bounds for the quantity under study, which are sharper than all bounds obtained so far, are presented.
Keywords: Nelson–Erdős–Hadwiger problem, chromatic number of a space with forbidden one-color triangles, linear-algebraic method.
Received: 02.12.2017
Revised: 30.03.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 3, Pages 329–341
DOI: https://doi.org/10.1134/S0001434619030039
Bibliographic databases:
Document Type: Article
UDC: 519.174.7
Language: Russian
Citation: A. V. Bobu, A. E. Kupriyanov, “Refinement of Lower Bounds of the Chromatic Number of a Space with Forbidden One-Color Triangles”, Mat. Zametki, 105:3 (2019), 349–363; Math. Notes, 105:3 (2019), 329–341
Citation in format AMSBIB
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\pages 349--363
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Linking options:
  • https://www.mathnet.ru/eng/mzm11875
  • https://doi.org/10.4213/mzm11875
  • https://www.mathnet.ru/eng/mzm/v105/i3/p349
    • This publication is cited in the following 2 articles:
    1. Ph. A. Pushnyakov, A. M. Raigorodskii, “Estimate of the Number of Edges in Special Subgraphs of a Distance Graph”, Math. Notes, 107:2 (2020), 322–332  mathnet  crossref  crossref  isi  elib
    2. A. V. Bobu, A. E. Kupriyanov, A. M. Raigorodskii, “A Generalization of Kneser Graphs”, Math. Notes, 107:3 (2020), 392–403  mathnet  crossref  crossref  mathscinet  isi
    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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    Full-text PDF :32
    References:49
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