Beacon-Based Algorithms for Geometric Routing

  • Michael Biro
  • Justin Iwerks
  • Irina Kostitsyna
  • Joseph S. B. Mitchell
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8037)


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.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Michael Biro
    • 1
  • Justin Iwerks
    • 1
  • Irina Kostitsyna
    • 1
  • Joseph S. B. Mitchell
    • 1
  1. 1.Stony Brook UniversityUSA

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