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Conference Papers Year : 2014

Efficiently Navigating a Random Delaunay Triangulation

Nicolas Broutin
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Olivier Devillers
Ross Hemsley
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Planar graph navigation is an important problem with significant implications to both point location in geometric data structures and routing in networks. Whilst many algorithms have been proposed, very little theoretical analysis is available for the properties of the paths generated or the computational resources required to generate them. In this work, we propose and analyse a new planar navigation algorithm for the Delaunay triangulation. We then demonstrate a number of strong theoretical guarantees for the algorithm when it is applied to a random set of points in a convex region.
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hal-01018174 , version 1 (03-07-2014)


  • HAL Id : hal-01018174 , version 1


Nicolas Broutin, Olivier Devillers, Ross Hemsley. Efficiently Navigating a Random Delaunay Triangulation. AofA 2014 - 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, Jun 2014, Paris, France. ⟨hal-01018174⟩


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