English

On the Parameterized Complexity of the Maximum Exposure Problem

Computational Geometry 2022-03-23 v2

Abstract

We investigate the parameterized complexity of Maximum Exposure Problem (MEP). Given a range space (R, P) where R is the set of ranges containing a set P of points, and an integer k, MEP asks for k ranges which on removal results in the maximum number of exposed points. A point p is said to be exposed when p is not contained in any of the ranges in R. The problem is known to be NP-hard. In this letter, we give fixed-parameter tractable results of MEP with respect to different parameterizations.

Keywords

Cite

@article{arxiv.2203.11114,
  title  = {On the Parameterized Complexity of the Maximum Exposure Problem},
  author = {Remi Raman and Shahin John J S and R Subashini and Subhasree Methirumangalath},
  journal= {arXiv preprint arXiv:2203.11114},
  year   = {2022}
}
R2 v1 2026-06-24T10:20:46.604Z