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Directed packings of circles in the plane (CROSBI ID 65609)

Prilog u knjizi | izvorni znanstveni rad | međunarodna recenzija

Došlić, Tomislav ; Škegro, Mirjam Directed packings of circles in the plane // Proceedings of the 2nd Croatian Combinatorial Days / Došlić, Tomislav ; Martinjak, Ivica (ur.). Zagreb, 2019. str. 27-48 doi: 10.5592/CO/CCD.2018.03

Podaci o odgovornosti

Došlić, Tomislav ; Škegro, Mirjam

engleski

Directed packings of circles in the plane

We consider sequential packings of families of circles in the plane whose curvatures are given as members of a sequence of non-negative real numbers. Each such packing gives rise to a sequence of circle centers that might diverge to infinity or remain bounded. We examine the behavior of the sequence of circle centers as a function of the growth rate of the sequence of curvatures. In several special cases we obtain explicit formulas for the coordinates of the limit, while in other cases we obtain accurate estimates.

packing of circles

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Podaci o prilogu

27-48.

objavljeno

10.5592/CO/CCD.2018.03

Podaci o knjizi

Proceedings of the 2nd Croatian Combinatorial Days

Došlić, Tomislav ; Martinjak, Ivica

Zagreb:

2019.

978-953-8168-33-8

Povezanost rada

Matematika

Poveznice