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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 495, Pages 74–77
DOI: https://doi.org/10.31857/S2686954320060156 (Mi danma138) 		 
This article is cited in 4 scientific papers (total in 4 papers)

MATHEMATICS

On dividing sets into parts of smaller diameter

A. M. Raigorodskiiabcd

a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region, Russian Federation
b Lomonosov Moscow State University, Moscow, Russian Federation
c Caucasus Mathematical Center, Adyghe State University, Maykop, Russian Federation
d Buryat State University, Institute for Mathematics and Informatics, Ulan-Ude, Russian Federation
Full-text PDF (127 kB) Citations (4)
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DOI: https://doi.org/10.31857/S2686954320060156
Abstract: An important generalization of Borsuk's classical problem of partitioning sets into parts of smaller diameter is studied. New upper and lower bounds for the Borsuk numbers are found.
Keywords: partition, coloring, point sets in spaces, diameter graph.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00355
Ministry of Education and Science of the Russian Federation НШ-2540.2020.1
This work was supported by the Russian Foundation for Basic Research (project no. 18-01-00355) and by President’s grant NSh-2540.2020.1.
Presented: V. V. Kozlov
Received: 05.07.2020
Revised: 05.07.2020
Accepted: 17.09.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 3, Pages 510–512
DOI: https://doi.org/10.1134/S1064562420060174
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. M. Raigorodskii, “On dividing sets into parts of smaller diameter”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020), 74–77; Dokl. Math., 102:3 (2020), 510–512
Citation in format AMSBIB
\Bibitem{Rai20}
\by A.~M.~Raigorodskii
\paper On dividing sets into parts of smaller diameter
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 495
\pages 74--77
\mathnet{http://mi.mathnet.ru/danma138}
\crossref{https://doi.org/10.31857/S2686954320060156}
\zmath{https://zbmath.org/?q=an:1477.05012}
\elib{https://elibrary.ru/item.asp?id=44367207}
\transl
\jour Dokl. Math.
\yr 2020
\vol 102
\issue 3
\pages 510--512
\crossref{https://doi.org/10.1134/S1064562420060174}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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