Beacon-Based algorithms for geometric routing

  • Authors:
  • Michael Biro;Justin Iwerks;Irina Kostitsyna;Joseph S. B. Mitchell

  • Affiliations:
  • Stony Brook University;Stony Brook University;Stony Brook University;Stony Brook University

  • Venue:
  • WADS'13 Proceedings of the 13th international conference on Algorithms and Data Structures
  • Year:
  • 2013

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Abstract

We consider beacons, an analog of geographical greedy routing, motivated by sensor network applications. A beacon b is a point object that can be activated to create a 'magnetic pull' towards itself everywhere in a polygonal domain P. We explore the properties of beacons and their effect on points in polygons, as well as demonstrate polynomial-time algorithms to compute a variety of structures defined by the action of beacons on P. We establish a polynomial-time algorithm for routing from a point s to a point t using a discrete set of candidate beacons, as well as a 2-approximation and a PTAS for routing between beacons placed without restriction in P.