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Intersection Theorems for Systems of Sets

✍ Scribed by Erdos, P.; Rado, R.


Book ID
120097993
Publisher
Oxford University Press
Year
1960
Tongue
English
Weight
172 KB
Volume
s1-35
Category
Article
ISSN
0024-6107

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An intersection theorem for systems of s
✍ A. V. Kostochka πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 346 KB πŸ‘ 2 views

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