English

Dynamic 3-sided Planar Range Queries with Expected Doubly Logarithmic Time

Data Structures and Algorithms 2012-01-16 v1

Abstract

This work studies the problem of 2-dimensional searching for the 3-sided range query of the form [a,b]×(,c][a, b]\times (-\infty, c] in both main and external memory, by considering a variety of input distributions. We present three sets of solutions each of which examines the 3-sided problem in both RAM and I/O model respectively. The presented data structures are deterministic and the expectation is with respect to the input distribution.

Cite

@article{arxiv.1201.2702,
  title  = {Dynamic 3-sided Planar Range Queries with Expected Doubly Logarithmic Time},
  author = {Gerth Stølting Brodal and Alexis C. Kaporis and Apostolos N. Papadopoulos and Spyros Sioutas and Konstantinos Tsakalidis and Kostas Tsichlas},
  journal= {arXiv preprint arXiv:1201.2702},
  year   = {2012}
}
R2 v1 2026-06-21T20:03:59.232Z