Largest family without A union B contained in C intersect D
| dc.creator | De Bonis, Annalisa | |
| dc.creator | Katona, Gyula O. H. | |
| dc.creator | Swanepoel, Konrad J. | |
| dc.date | 2004-07-22 | |
| dc.date.accessioned | 2026-07-07T06:31:33Z | |
| dc.date.available | 2026-07-07T06:31:33Z | |
| dc.description | Let F be a family of subsets of an n-element set not containing four distinct members such that A union B is contained in C intersect D. It is proved that the maximum size of F under this condition is equal to the sum of the two largest binomial coefficients of order n. The maximum families are also characterized. A LYM-type inequality for such families is given, too. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0407373 | |
| dc.identifier | http://arxiv.org/abs/math/0407373 | |
| dc.identifier | J. Combin. Theory Ser. A 111 (2005), no. 2, 331--336 | |
| dc.identifier | doi:10.1016/j.jcta.2005.01.002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98641 | |
| dc.subject | Combinatorics | |
| dc.subject | 05D05 | |
| dc.title | Largest family without A union B contained in C intersect D | |
| dc.type | text |