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

preprint2016arXivOpen access

Abstract

Following a recent improvement of Cardinal et al. on the complexity of a linear decision tree for kk-SUM, resulting in O(n3log⁡3n)O(n^3 \log^3{n}) linear queries, we present a further improvement to O(n2log⁡2n)O(n^2 \log^2{n}) such queries.

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