Planar maximum box problem

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Given two finite sets of points X+ and X- in R d, the maximum box problem asks to find an axis-parallel box B such that B ∩ X- = φ and the total number of points from X + covered is maximized. In this paper we consider the version of the problem for d = 2 (and find the smallest solution box). We present an O(n 3 log4 n) runtime algorithm, thus improving previously best known solution by almost quadratic factor.

Original languageEnglish
Pages (from-to)31-38
Number of pages8
JournalJournal of Mathematical Modelling and Algorithms
Volume3
Issue number1
DOIs
StatePublished - 1 Dec 2004

Keywords

  • Axis-parallel
  • Discrete optimization
  • Sorted matrices

Fingerprint

Dive into the research topics of 'Planar maximum box problem'. Together they form a unique fingerprint.

Cite this