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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)
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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
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    • This publication is cited in the following 3 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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