Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




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

Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 499, Pages 44–48
DOI: https://doi.org/10.31857/S2686954321040147 (Mi danma188) 		 
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

Covering planar sets

A. D. Tolmachev, D. S. Protasov

Moscow Institute of Physics and Technology (National Research University), Moscow, Russia
Full-text PDF (326 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S2686954321040147
Abstract: Methods for improving upper and lower bounds for various coverings of planar sets are proposed. New bounds for various numbers of partition constituents are presented, and suggestions for the generalization of the presented methods are offered.
Keywords: Borsuk problem, diameter of a set, coverings of planar sets, universal covering systems, chromatic number.
Presented: V. V. Kozlov
Received: 22.04.2021
Revised: 22.04.2021
Accepted: 02.05.2021
English version:
Doklady Mathematics, 2021, Volume 104, Issue 1, Pages 196–199
DOI: https://doi.org/10.1134/S1064562421040141
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. D. Tolmachev, D. S. Protasov, “Covering planar sets”, Dokl. RAN. Math. Inf. Proc. Upr., 499 (2021), 44–48; Dokl. Math., 104:1 (2021), 196–199
Citation in format AMSBIB
\Bibitem{TolPro21}
\by A.~D.~Tolmachev, D.~S.~Protasov
\paper Covering planar sets
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2021
\vol 499
\pages 44--48
\mathnet{http://mi.mathnet.ru/danma188}
\crossref{https://doi.org/10.31857/S2686954321040147}
\zmath{https://zbmath.org/?q=an:1478.05118}
\elib{https://elibrary.ru/item.asp?id=46532753}
\transl
\jour Dokl. Math.
\yr 2021
\vol 104
\issue 1
\pages 196--199
\crossref{https://doi.org/10.1134/S1064562421040141}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85115350351}
Linking options:
  • https://www.mathnet.ru/eng/danma188
  • https://www.mathnet.ru/eng/danma/v499/p44
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
    Statistics & downloads:
    Abstract page:77
    Full-text PDF :11
    References:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024