Newton numbers for overlapping circular discs

Authors
Harborth, H Koch, M Szabo, L
Citation
H. Harborth et al., Newton numbers for overlapping circular discs, ST SCI M H, 37(1-2), 2001, pp. 119-130
Citations number
6
Categorie Soggetti
Mathematics
Journal title
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
ISSN journal
00816906 → ACNP
Volume
37
Issue
1-2
Year of publication
2001
Pages
119 - 130
Database
ISI
SICI code
0081-6906(2001)37:1-2<119:NNFOCD>2.0.ZU;2-G
Abstract
Consider a family of closed unit circular discs in the plane. Two discs are called neighbours if they have a point in common. Let N(d) denote the maxi mum possible number of neighbours of one disc in a family of unit circular discs, where the distance between any two circle centers is at least d. Her e N(d) is determined for 1 < d <less than or equal to> 2.