Name
Abstract | ||
|---|---|---|
We consider bounds on the size of families F of subsets of a v-set subject to restrictions modulo a prime p on the cardinalities of the pairwise intersections. We improve the known bound when F is allowed to contain sets of different sizes, but only in a special case. We show that if the bound for uniform families F holds with equality, then F is the set of blocks of what we call a p-ary t-design for certain values of t. This motivates us to make a few observations about p-ary t-designs for their own sake. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.disc.2008.09.025 | Discrete Mathematics |
Keywords | Field | DocType |
set intersections,extremal set theory,incidence matrices,t -designs,t-designs,t | Prime (order theory),Discrete mathematics,Pairwise comparison,Set theory,Combinatorics,Modulo,Matrix (mathematics),Cardinality,Mathematics,Special case | Journal |
Volume | Issue | ISSN |
309 | 3 | Discrete Mathematics |
Citations | PageRank | References |
1 | 0.40 | 5 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Richard M. Wilson | 1 | 697 | 340.86 |