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- W3186013818 abstract "We study the maximum matching problem in the random-order semi-streaming setting. In this problem, the edges of an arbitrary n-vertex graph G = (V, E) arrive in a stream one by one and in a random order. The goal is to have a single pass over the stream, use O(n ⋅ polylog) space, and output a large matching of G.We prove that for an absolute constant e₀ > 0, one can find a (2/3 + e₀)-approximate maximum matching of G using O(n log n) space with high probability. This breaks the natural boundary of 2/3 for this problem prevalent in the prior work and resolves an open problem of Bernstein [ICALP'20] on whether a (2/3 + Ω(1))-approximation is achievable." @default.
- W3186013818 created "2021-08-02" @default.
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- W3186013818 date "2021-07-01" @default.
- W3186013818 modified "2023-09-26" @default.
- W3186013818 title "Beating two-thirds for random-order streaming matching" @default.
- W3186013818 doi "https://doi.org/10.4230/lipics.icalp.2021.19" @default.
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