There are no realizable 15_4- and 16_4-configurations
| dc.creator | Bokowski, Juergen | |
| dc.creator | Schewe, Lars | |
| dc.date | 2005-05-11 | |
| dc.date | 2005-05-24 | |
| dc.date.accessioned | 2026-07-07T08:54:40Z | |
| dc.date.available | 2026-07-07T08:54:40Z | |
| dc.description | There exist a finite number of natural numbers n for which we do not know whether a realizable n_4-configuration does exist. We settle the two smallest unknown cases n=15 and n=16. In these cases realizable n_4-configurations cannot exist even in the more general setting of pseudoline-arrangements. The proof in the case n=15 can be generalized to n_k-configurations. We show that a necessary condition for the existence of a realizable n_k-configuration is that n > k^2+k-5 holds. | |
| dc.description | 11 pages, 8 figures, added pseudoline realizations by Branko Gr{ü}nbaum | |
| dc.identifier | https://arxiv.org/abs/math/0505205 | |
| dc.identifier | http://arxiv.org/abs/math/0505205 | |
| dc.identifier | Rev. Roumaine Math. Pures Appl. 50 (2005), no. 5-6, 483--493. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146017 | |
| dc.subject | Metric Geometry | |
| dc.subject | 52C30 (Primary), 05B30 (Secondary) | |
| dc.title | There are no realizable 15_4- and 16_4-configurations | |
| dc.type | text |