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Ball packings for links.
- Source :
-
European Journal of Combinatorics . Aug2021, Vol. 96, pN.PAG-N.PAG. 1p. - Publication Year :
- 2021
-
Abstract
- The ball number of a link L , denoted by b a l l (L) , is the minimum number of solid balls (not necessarily of the same size) needed to realize a necklace representing L. In this paper, we show that b a l l (L) ≤ 5 c r (L) where c r (L) denotes the crossing number of a nontrivial nonsplittable link L. To this end, we use the connection of the Lorentz geometry with the ball packings. The well-known Koebe–Andreev–Thurston circle packing Theorem is also an important brick for the proof. Our approach yields an algorithm to construct explicitly the desired necklace representation of L in R 3. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EVIDENCE
*BRICKS
*GEOMETRY
*ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 01956698
- Volume :
- 96
- Database :
- Academic Search Index
- Journal :
- European Journal of Combinatorics
- Publication Type :
- Academic Journal
- Accession number :
- 150751645
- Full Text :
- https://doi.org/10.1016/j.ejc.2021.103351