An optimal parallel circle-cover algorithm

Dilip Sarkar, Ivan Stojmenović

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

Given a set of n circular arcs, we provide an optimal parallel algorithm (on the CREW PRAM model of computation) for finding a minimum number of circular arcs whose union covers the circle. The algorithm runs in O(log n) time with O(n) processors and uses O(n) space. This is a significant improvement over the recent algorithm by Bertossi that runs in O(log n) time with O(n2) processors and uses O(n2) space.

Original languageEnglish (US)
Pages (from-to)3-6
Number of pages4
JournalInformation Processing Letters
Volume32
Issue number1
DOIs
StatePublished - Jul 3 1989

Keywords

  • Analysis of algorithms
  • circle-cover
  • combinatorial problems
  • computational geometry
  • parallel processing

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Signal Processing
  • Information Systems
  • Computer Science Applications

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