caa a22 4500 605523142 CHVBK 20210128100748.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10958-015-2642-8 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2642-8 Takhonov I. Novosibirsk State University, 2, ul. Pirogova, 630090, Novosibirsk, Russia aut Multi-Level Regular Coverings of the Plane by Disks [Elektronische Daten] [I. Takhonov] We study the problem of finding the least dense regular covering of a plane by disks of different radii. We introduce k-level regular coverings that generalize some known models. We obtain a bound for the density of multi-level coverings and construct a three-level covering of density ≈ 1.083. Bibliography: 14 titles. Illustrations: 11 figures. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 211/6(2015-12-01), 886-901 1072-3374 211:6<886 2015 211 10958 https://doi.org/10.1007/s10958-015-2642-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2642-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Takhonov I. Novosibirsk State University, 2, ul. Pirogova, 630090, Novosibirsk, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 211/6(2015-12-01), 886-901 1072-3374 211:6<886 2015 211 10958