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Constant time distance queries in planar unweighted graphs with subquadratic preprocessing time

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Publication:359743
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DOI10.1016/j.comgeo.2012.01.016zbMath1271.05031OpenAlexW1992608637MaRDI QIDQ359743

Christian Wulff-Nilsen

Publication date: 22 August 2013

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S092577211200048X


zbMATH Keywords

diameterplanar graphWiener indexdistance oracleshortest path distances


Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Planar graphs; geometric and topological aspects of graph theory (05C10) Distance in graphs (05C12) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)




Cites Work

  • Unnamed Item
  • Algorithms for graphs of bounded treewidth via orthogonal range searching
  • Computing the dilation of edge-augmented graphs in metric spaces
  • Fast Algorithms for Shortest Paths in Planar Graphs, with Applications
  • A Separator Theorem for Planar Graphs
  • A Separator Theorem for Nonplanar Graphs


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