On Subsets with Intersections of Even Cardinality

Author:

Berlekamp E.R.

Abstract

This paper solves a question posed by P. Erdös:If A1, A2, …, A are distinct subsets of n elements and if |Ai ∩ Ai| ≡ 0 mod 2 (i ≠ j), thenand for each n, there exists a collection of subsets which achieves this bound with equality.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

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