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A theorem of Helly type for sets defined by systems of equations

✍ Scribed by V. L. Dol'nikov


Publisher
SP MAIK Nauka/Interperiodica
Year
1989
Tongue
English
Weight
329 KB
Volume
46
Category
Article
ISSN
0001-4346

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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