Abstract
In 1984, Wilson proved the Erdős–Ko–Rado theorem for t-intersecting families of k-subsets of an n-set: he showed that if n≥(t+1)(k−t+1) and F is a family of k-subsets of an n-set such that any two members of F have at least t elements in common, then |F|≤n−tk−t. His proof made essential use of a matrix whose origin is not obvious. In this paper we show that this matrix can be derived, in a sense, as a projection of t-(n,k,1) design.
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