On the weak circular intersection property

Authors
Kupitz, YS Martini, H
Citation
Ys. Kupitz et H. Martini, On the weak circular intersection property, ST SCI M H, 36(3-4), 2000, pp. 371-385
Citations number
13
Categorie Soggetti
Mathematics
Journal title
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
ISSN journal
00816906 → ACNP
Volume
36
Issue
3-4
Year of publication
2000
Pages
371 - 385
Database
ISI
SICI code
0081-6906(2000)36:3-4<371:OTWCIP>2.0.ZU;2-#
Abstract
A planar set S of diameter h has the weak circular intersection property if the intersection of all unit discs whose centers are in S is a set of cons tant width h. We determine the least number of points to be added to a fini te planar set of given diameter such that the resulting set has the weak ci rcular intersection property (Theorem 4.1, Corollary 4.2).