The number of point-splitting circles
| dc.creator | M, Federico Ardila | |
| dc.date | 2001-10-18 | |
| dc.date.accessioned | 2026-07-07T04:43:57Z | |
| dc.date.available | 2026-07-07T04:43:57Z | |
| dc.description | Let S be a set of 2n+1 points in the plane such that no three are collinear and no four are concyclic. A circle will be called point-splitting if it has 3 points of S on its circumference, n-1 points in its interior and n-1 in its exterior. We show the surprising property that S always has exactly n^2 point- splitting circles, and prove a more general result. | |
| dc.description | 12 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0110209 | |
| dc.identifier | http://arxiv.org/abs/math/0110209 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62443 | |
| dc.subject | Combinatorics | |
| dc.subject | 52C99, 05A99 | |
| dc.title | The number of point-splitting circles | |
| dc.type | text |