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A Self-stabilizing and Local Delaunay Graph Construction

  • Riko Jacob
  • Stephan Ritscher
  • Christian Scheideler
  • Stefan Schmid
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5878)

Abstract

This paper studies the construction of self-stabilizing topologies for distributed systems. While recent research has focused on chain topologies where nodes need to be linearized with respect to their identifiers, we go a step further and explore a natural 2-dimensional generalization. In particular, we present a local self-stabilizing algorithm that constructs a Delaunay graph from any initial connected topology and in a distributed manner. This algorithm terminates in time O(n 3) in the worst-case. We believe that such self-stabilizing Delaunay networks have interesting applications and give insights into the necessary geometric reasoning that is required for higher-dimensional linearization problems.

Keywords

Active Node Convergence Time Undirected Edge Geometric Reasoning 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-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Riko Jacob
    • 1
  • Stephan Ritscher
    • 1
  • Christian Scheideler
    • 2
  • Stefan Schmid
    • 2
  1. 1.Institut für InformatikTechnische Universität MünchenGarchingGermany
  2. 2.Department of Computer ScienceUniversity of PaderbornPaderbornGermany

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