English

Space-Efficient Data-Analysis Queries on Grids

Data Structures and Algorithms 2012-04-03 v2 Computational Geometry Databases

Abstract

We consider various data-analysis queries on two-dimensional points. We give new space/time tradeoffs over previous work on geometric queries such as dominance and rectangle visibility, and on semigroup and group queries such as sum, average, variance, minimum and maximum. We also introduce new solutions to queries less frequently considered in the literature such as two-dimensional quantiles, majorities, successor/predecessor, mode, and various top-kk queries, considering static and dynamic scenarios.

Keywords

Cite

@article{arxiv.1106.4649,
  title  = {Space-Efficient Data-Analysis Queries on Grids},
  author = {Gonzalo Navarro and Yakov Nekrich and Luís M. S. Russo},
  journal= {arXiv preprint arXiv:1106.4649},
  year   = {2012}
}

Comments

20 pages, 2 figures, submitting

R2 v1 2026-06-21T18:26:24.492Z