Name
Abstract | ||
|---|---|---|
Let F be a family of subsets of an n-element set not containing four distinct members such that A ∪ B ⊆ C ∩ 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. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.jcta.2005.01.002 | Journal of Combinatorial Theory Series A |
Keywords | DocType | Volume |
families of subsets,order n,distinct member,maximum family,sperner,lym-type inequality,lym,largest family,maximum size,largest binomial coefficient,binomial coefficient | Journal | 111 |
Issue | ISSN | Citations |
2 | J. Combin. Theory Ser. A 111 (2005), no. 2, 331--336 | 15 |
PageRank | References | Authors |
2.67 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Annalisa De Bonis | 1 | 347 | 32.27 |
| Gyula O. H. Katona | 2 | 264 | 66.44 |
| Konrad J. Swanepoel | 3 | 30 | 8.66 |