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Families of Sets with Intersecting Clusters
clusters of subsets Chvatal's simplex theorem d-simplex Erdos- Ko-Rado Theorem
2014/6/3
A family of k-subsets A1, A2,... , Ad on [n] = {1, 2,... , n} is called a (d, c)-cluster if the union A1 ∪ A2 ∪... ∪Ad contains at most ck elements with c < d. Let F be a family of k-subsets of an n-e...