English

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

Computational Geometry 2016-07-18 v1

Abstract

Following a recent improvement of Cardinal et al. on the complexity of a linear decision tree for kk-SUM, resulting in O(n3log3n)O(n^3 \log^3{n}) linear queries, we present a further improvement to O(n2log2n)O(n^2 \log^2{n}) such queries.

Keywords

Cite

@article{arxiv.1607.04336,
  title  = {The Decision Tree Complexity for $k$-SUM is at most Nearly Quadratic},
  author = {Esther Ezra and Micha Sharir},
  journal= {arXiv preprint arXiv:1607.04336},
  year   = {2016}
}