In-Place algorithms for computing (layers of) maxima

  • Authors:
  • Henrik Blunck;Jan Vahrenhold

  • Affiliations:
  • Institut für Informatik, Westfälische Wilhelms-Universität Münster, Münster, Germany;Institut für Informatik, Westfälische Wilhelms-Universität Münster, Münster, Germany

  • Venue:
  • SWAT'06 Proceedings of the 10th Scandinavian conference on Algorithm Theory
  • Year:
  • 2006

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Abstract

We describe space-efficient algorithms for solving problems related to finding maxima among points in two and three dimensions. Our algorithms run in optimal $\mathcal{O}({n\log n})$ time and occupy only constant extra space in addition to the space needed for representing the input