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Creators/Authors contains: "Schramm, Tselil"

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  1. We give query-efficient algorithms for the global min-cut and the s-t cut problem in unweighted, undirected graphs. Our oracle model is inspired by the submodular function minimization problem: on query $$S \subset V$$, the oracle returns the size of the cut between $$S$$ and $$V \setminus S$$. We provide algorithms computing an exact minimum $$s$$-$$t$$ cut in $$G$$ with $$\tilde{O}(n^{5/3})$$ queries, and computing an exact global minimum cut of $$G$$ with only $$\tilde{O}(n)$$ queries (while learning the graph requires $$\tilde{\Theta}(n^2)$$ queries). 
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