“We study sublinear time algorithms for estimating the size of maximum matching in graphs. Our main result is a (½ + Ω(1))-approximation algorithm which can be implemented in O(n1+ε) time, where n is the number of vertices and the constant ε > 0 can be made arbitrarily small. The best known lower bound for the problem is Ω(n), which holds for any constant approximation.”
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