Geodesic
Covering planar sets
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 499 (2021), pp. 44-48

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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. 
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     author = {A. D. Tolmachev and D. S. Protasov},
     title = {Covering planar sets},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {44--48},
     publisher = {mathdoc},
     volume = {499},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2021_499_a9/}
}
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A. D. Tolmachev; D. S. Protasov. Covering planar sets. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 499 (2021), pp. 44-48. http://geodesic.mathdoc.fr/item/DANMA_2021_499_a9/