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The classical Erdős–Ko–Rado (EKR) Theorem states that if we choose a family of subsets, each of size k, from a fixed set of size $n\ (n > 2k)$ , then the largest possible pairwise intersecting family has size . We consider the probability that a randomly selected family of size t=tn has the EKR property (pairwise nonempty intersection) as n and k=kn tend to infinity,...
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