Jacob09Delaunay
Riko Jacob, Stephan Ritscher, Christian Scheideler, Stefan Schmid. A Self-Stabilizing and Local Delaunay Graph Construction. In Algorithms and Computations: Proceedings of 20th International Symposium on Algorithms and Computation (ISAAC), (Location: Hawaii, USA), LNCS 5878, Springer, Berlin / Heidelberg, Germany, December 2009.
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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(n³) 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
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BibTex Reference
@InProceedings{Jacob09Delaunay,
Author = {Jacob, Riko and Ritscher, Stephan and Scheideler, Christian and Schmid, Stefan},
Title = {A Self-Stabilizing and Local Delaunay Graph Construction},
BookTitle = {Algorithms and Computations: Proceedings of 20th International Symposium on Algorithms and Computation (ISAAC)},
Series = {LNCS 5878},
Publisher = {Springer},
Address = {Berlin / Heidelberg, Germany},
Location = {Hawaii, USA},
Month = {December},
Year = {2009}
}
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