Sublinear Algorithms for Estimating the Number of Hyperedges in Arbitrary Hypergraphs
A randomized algorithm is given that returns a $(1+\varepsilon)-approximation to $m$ with high probability, making $O(\varepsilon^{-2}\sqrt{n} + \sqrt{n}\log n)$ queries, and it is proved that $\Omega(\sqrt{n})$ queries are necessary for any algorithm that obtains a constant factor approximation to $m$.