A local O(n2) gathering algorithm

  • Authors:
  • Bastian Degener;Barbara Kempkes;Friedhelm Meyer auf der Heide

  • Affiliations:
  • Heinz Nixdorf Institute, Paderborn, Germany;Heinz Nixdorf Institute, Paderborn, Germany;Heinz Nixdorf Institute, Paderborn, Germany

  • Venue:
  • Proceedings of the twenty-second annual ACM symposium on Parallelism in algorithms and architectures
  • Year:
  • 2010

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Abstract

The gathering problem, where $n$ autonomous robots with restricted capabilities are required to meet in a single point of the plane, is widely studied. We consider the case that robots are limited to see only robots within a bounded vicinity and present an algorithm achieving gathering in O(n2) rounds in expectation. A round consists of a movement of all robots, in random order. All previous algorithms with a proven time bound assume global view on the configuration of all robots.