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arXiv · 1607.04336

The Decision Tree Complexity for $k$-SUM is at most Nearly Quadratic

Esther Ezra·Micha Sharir
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Abstract

Following a recent improvement of Cardinal et al. on the complexity of a linear decision tree for $k$-SUM, resulting in $O(n^3 \log^3{n})$ linear queries, we present a further improvement to $O(n^2 \log^2{n})$ such queries.

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Esther Ezra, Micha Sharir. 2016-07-14. The Decision Tree Complexity for $k$-SUM is at most Nearly Quadratic. https://arxiv.org/abs/1607.04336

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