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arXiv · 1303.1016

Space-Efficient Las Vegas Algorithms for K-SUM

Joshua Wang
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Abstract

Using hashing techniques, this paper develops a family of space-efficient Las Vegas randomized algorithms for $k$-SUM problems. This family includes an algorithm that can solve 3-SUM in $O(n^2)$ time and $O(\sqrt{n})$ space. It also establishes a new time-space upper bound for SUBSET-SUM, which can be solved by a Las Vegas algorithm in $O^*(2^{(1-\sqrt{\8/9\beta})n})$ time and $O^*(2^{\beta n})$ space, for any $\beta \in [0, \9/32]$.

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Joshua Wang. 2013-03-05. Space-Efficient Las Vegas Algorithms for K-SUM. https://arxiv.org/abs/1303.1016

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