Loading [MathJax]/jax/output/SVG/config.js
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, 2008, Volume 83, Issue 4, Pages 636–639
DOI: https://doi.org/10.4213/mzm4582 (Mi mzm4582) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Brief Communications

On the Chromatic Number of Euclidean Space and the Borsuk Problem

A. M. Raigorodskii, I. M. Shitova

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (338 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm4582
Keywords: chromatic number, Euclidean space, Borsuk problem, Borsuk number, graph, independence number of a graph.
Received: 05.10.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 4, Pages 579–582
DOI: https://doi.org/10.1134/S0001434608030322
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. M. Raigorodskii, I. M. Shitova, “On the Chromatic Number of Euclidean Space and the Borsuk Problem”, Mat. Zametki, 83:4 (2008), 636–639; Math. Notes, 83:4 (2008), 579–582
Citation in format AMSBIB
\Bibitem{RaiShi08}
\by A.~M.~Raigorodskii, I.~M.~Shitova
\paper On the Chromatic Number of Euclidean Space and the Borsuk Problem
\jour Mat. Zametki
\yr 2008
\vol 83
\issue 4
\pages 636--639
\mathnet{http://mi.mathnet.ru/mzm4582}
\crossref{https://doi.org/10.4213/mzm4582}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2432749}
\zmath{https://zbmath.org/?q=an:05488740}
\elib{https://elibrary.ru/item.asp?id=13587176}
\transl
\jour Math. Notes
\yr 2008
\vol 83
\issue 4
\pages 579--582
\crossref{https://doi.org/10.1134/S0001434608030322}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000255998600032}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-43749124413}
Linking options:
  • https://www.mathnet.ru/eng/mzm4582
  • https://doi.org/10.4213/mzm4582
  • https://www.mathnet.ru/eng/mzm/v83/i4/p636
    • This publication is cited in the following 3 articles:
    1. L. I. Bogolubsky, A. M. Raigorodskii, “A Remark on Lower Bounds for the Chromatic Numbers of Spaces of Small Dimension with Metrics $\ell_1$ and $\ell_2$”, Math. Notes, 105:2 (2019), 180–203  mathnet  crossref  crossref  mathscinet  isi  elib
    2. Andrei M. Raigorodskii, Thirty Essays on Geometric Graph Theory, 2013, 429  crossref
    3. A. E. Guterman, V. K. Lyubimov, A. M. Raigorodskii, S. A. Usachev, “On independence numbers of distance graphs with vertices in ${-1,0,1}^n$: estimates, conjectures, and applications to the Nelson–Erdős–Hadwiger problem and the Borsuk problem”, Journal of Mathematical Sciences, 165:6 (2010), 689–709  mathnet  mathnet  crossref
    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:618
    Full-text PDF :254
    References:65
    First page:11
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025