Erdos and Rado defined a A-system, as a family in which every two members have the same intersection. Here we obtain a new upper bound on the maximum cardinality q ( n , q ) of an n-uniform family not containing any A-system of cardinality q. Namely, we prove that, for any a > 1 and q , there exists
A theorem on nonempty intersection of convex sets and its application
โ Scribed by T Ando
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 461 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0021-9045
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