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Two hypergraphs H1,H2 are called cross-intersecting if e1∩e2≠∅ for every pair of edges e1∈H1, e2∈H2. Each of the hypergraphs is then said to block the other. Given integers n,r,m we determine the maximal size of a sub-hypergraph of [n]r (meaning that it is r-partite, with all sides of size n) for which there exists a blocking sub-hypergraph of [n]r of size m. The answer involves a self-similar sequence,...
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