English

The effective entropy of next/previous larger/smaller value queries

Data Structures and Algorithms 2018-08-14 v1

Abstract

We study the problem of storing the minimum number of bits required to answer next/previous larger/smaller value queries on an array AA of nn numbers, without storing AA. We show that these queries can be answered by storing at most 3.701n3.701 n bits. Our result improves the result of Jo and Satti [TCS 2016] that gives an upper bound of 4.088n4.088n bits for this problem.

Keywords

Cite

@article{arxiv.1808.03658,
  title  = {The effective entropy of next/previous larger/smaller value queries},
  author = {Dekel Tsur},
  journal= {arXiv preprint arXiv:1808.03658},
  year   = {2018}
}