English

Dispersing Points on Intervals

Computational Geometry 2016-11-30 v1

Abstract

We consider a problem of dispersing points on disjoint intervals on a line. Given n pairwise disjoint intervals sorted on a line, we want to find a point in each interval such that the minimum pairwise distance of these points is maximized. Based on a greedy strategy, we present a linear time algorithm for the problem. Further, we also solve in linear time the cycle version of the problem where the intervals are given on a cycle.

Cite

@article{arxiv.1611.09485,
  title  = {Dispersing Points on Intervals},
  author = {Shimin Li and Haitao Wang},
  journal= {arXiv preprint arXiv:1611.09485},
  year   = {2016}
}

Comments

A preliminary version to appear in ISAAC 2016

R2 v1 2026-06-22T17:07:31.523Z