Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2019, Volume 105, Issue 1, Pages 18–31
DOI: https://doi.org/10.4213/mzm11633 (Mi mzm11633) 		 
This article is cited in 14 scientific papers (total in 14 papers)

On Lower Bounds for the Chromatic Number of Spheres

O. A. Kostina

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
Full-text PDF (518 kB) Citations (14)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm11633
Abstract: Estimates of the chromatic numbers of spheres are studied. The optimality of the choice of the parameters of the linear-algebraic method used to obtain these estimates is investigated. For the case of $(0,1)$-vectors, it is shown that the parameters chosen in previous results yield the best estimate. For the case of $(-1,0,1)$-vectors, the optimal values of the parameters are obtained; this leads to a significant refinement of the estimates of the chromatic numbers of spheres obtained earlier.
Keywords: chromatic number of spheres, linear-algebraic method, Frankl–Wilson theorem, Nelson–Hadwiger problem, distance graphs.
Received: 28.03.2017
Revised: 01.07.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 1, Pages 16–27
DOI: https://doi.org/10.1134/S0001434619010036
Bibliographic databases:
Document Type: Article
UDC: 517.174.7
Language: Russian
Citation: O. A. Kostina, “On Lower Bounds for the Chromatic Number of Spheres”, Mat. Zametki, 105:1 (2019), 18–31; Math. Notes, 105:1 (2019), 16–27
Citation in format AMSBIB
\Bibitem{Kos19}
\by O.~A.~Kostina
\paper On Lower Bounds for the Chromatic Number of Spheres
\jour Mat. Zametki
\yr 2019
\vol 105
\issue 1
\pages 18--31
\mathnet{http://mi.mathnet.ru/mzm11633}
\crossref{https://doi.org/10.4213/mzm11633}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3894446}
\elib{https://elibrary.ru/item.asp?id=36603820}
\transl
\jour Math. Notes
\yr 2019
\vol 105
\issue 1
\pages 16--27
\crossref{https://doi.org/10.1134/S0001434619010036}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000464727500003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85064252545}
Linking options:
  • https://www.mathnet.ru/eng/mzm11633
  • https://doi.org/10.4213/mzm11633
  • https://www.mathnet.ru/eng/mzm/v105/i1/p18
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:329
    Full-text PDF :84
    References:34
    First page:23
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024