Maximum Rigid Components as Means for Direction-Based Localization in Sensor Networks

  • Bastian Katz
  • Marco Gaertler
  • Dorothea Wagner
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4362)


Many applications in sensor networks require positional information of the sensors. Recovering node positions is closely related to graph realization problems for geometric graphs. Here, we address the case where nodes have angular information. Whereas Bruck et al. proved that the corresponding realization problem together with unit-disk-graph-constraints is \(\mathcal{NP}\)-hard [2], we focus on rigid components which allow both efficient identification and fast, unique realizations. Our technique allows to identify maximum rigid components in graphs with partially known rigid components using a reduction to maximum flow problems. This approach is analyzed for the two-dimensional case, but can easily be extended to higher dimensions.


Sensor Network Node Density Intersection Network Geometric Graph Unit Disk Graph 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Bastian Katz
    • 1
  • Marco Gaertler
    • 1
  • Dorothea Wagner
    • 1
  1. 1.Faculty of Informatics, Universität Karlsruhe (TH)Germany

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