An intersection theorem for systems of sets

نویسنده

  • Alexandr V. Kostochka
چکیده

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 C = C(a, q ) such that, for any n ,

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عنوان ژورنال:
  • Random Struct. Algorithms

دوره 9  شماره 

صفحات  -

تاریخ انتشار 1996