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- W2948282142 abstract "We study the maximum k-coverage problem in the general edge-arrival streaming model: given a collection of m sets F, each subset of a ground set of elements U of size n, the task is to find k sets whose coverage is maximized. The sets are specified as a sequence of (element, set) pairs in an arbitrary order. Our main result is a tight (up to polylogarithmic factors) trade-off between the space complexity and the approximation factor αin(1/(1-1/e), tildeOmega (sqrtm )]$ of any single-pass streaming algorithm that estimates the maximum coverage size. Specifically, we show that the optimal space bound is $tildeTheta (m/α^2)$. Moreover, we design a single-pass algorithm that reports an α-approximate solution in $tildeO (m/α^2 + k)$ space. Our algorithm heavily exploits data stream sketching techniques, which could lead to further connections between vector sketching methods and streaming algorithms for combinatorial optimization tasks." @default.
- W2948282142 created "2019-06-14" @default.
- W2948282142 creator A5052582756 @default.
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- W2948282142 date "2019-06-25" @default.
- W2948282142 modified "2023-09-27" @default.
- W2948282142 title "Tight Trade-offs for the Maximum k-Coverage Problem in the General Streaming Model" @default.
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- W2948282142 doi "https://doi.org/10.1145/3294052.3319691" @default.
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