Approximate shortest path queries in graphs using Voronoi duals

Christian Sommer*, Michael E. Houle, Martin Wolff, Shinichi Honiden


研究成果: Article査読


We propose an approximation method to answer shortest path queries in graphs, based on hierarchical random sampling and Voronoi duals. The lowest level of the hierarchy stores the initial graph. At each higher level, we compute a simplification of the graph on the level below, by selecting a constant fraction of nodes. Edges are generated as the Voronoi dual within the lower level, using the selected nodes as Voronoi sites. This hierarchy allows for fast computation of approximate shortest paths for general graphs. The time-quality tradeoff decision can be made at query time. We provide bounds on the approximation ratio of the path lengths.

ジャーナルNII Technical Reports
出版ステータスPublished - 2008 8月 25

ASJC Scopus subject areas

  • 情報システム
  • コンピュータ サイエンスの応用


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