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An \(O(n^{5/2}\log n)\) algorithm for the rectilinear minimum link-distance problem in three dimensions

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Publication:1025292
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DOI10.1016/j.comgeo.2008.04.006zbMath1166.65318OpenAlexW2016840986MaRDI QIDQ1025292

Clifford Stein, David P. Wagner, Robert L. Scot Drysdale

Publication date: 18 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.comgeo.2008.04.006


zbMATH Keywords

algorithmsshortest pathpriority queueminimum link pathbinary space partitionsegment treesweep planerectilinear path


Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)




Cites Work

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  • A note on two problems in connexion with graphs
  • Binary space partitions for axis-parallel segments, rectangles, and hyperrectangles
  • Optimal parallel algorithms for rectilinear link-distance problems
  • Rectilinear paths among rectilinear obstacles
  • Primitives for the manipulation of general subdivisions and the computation of Voronoi
  • Optimal binary space partitions for orthogonal objects
  • SHORTEST PATH QUERIES IN RECTILINEAR WORLDS
  • On bends and distances of paths among obstacles in two-layer interconnection model
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