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A tight lower bound for the complexity of path-planning for a disc

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Publication:1111039
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DOI10.1016/0020-0190(88)90203-7zbMath0657.68115OpenAlexW2077643376MaRDI QIDQ1111039

Colm P. O'Dunlaing

Publication date: 1988

Published in: Information Processing Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-0190(88)90203-7


zbMATH Keywords

motion planningcomputational geometryalgebraic decision tree


Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Computing methodologies and applications (68U99)


Related Items (3)

Minimum-link paths among obstacles in the plane ⋮ Moving a disc between polygons ⋮ Decision trees: Old and new results.



Cites Work

  • On the Piano Movers problem. II: General techniques for computing topological properties of real algebraic manifolds
  • Strong NP-hardness of moving many discs
  • Constructing the visibility graph for n-line segments in \(O(n^ 2)\) time
  • A “retraction” method for planning the motion of a disc
  • Movement Problems for 2-Dimensional Linkages


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