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Counting convex polygons in planar point sets

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Publication:1350236
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DOI10.1016/0020-0190(95)00130-5zbMath0875.68899OpenAlexW2108498688WikidataQ127305449 ScholiaQ127305449MaRDI QIDQ1350236

Günter Rote, Joseph S. B. Mitchell, Gopalakrishnan Sundaram, Gerhard J. Woeginger

Publication date: 27 February 1997

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

Full work available at URL: https://doi.org/10.1016/0020-0190(95)00130-5

zbMATH Keywords

Computational geometryCombinatoricsDynamic programmingConvexity


Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)


Related Items

Generating random polygons with given vertices, Empty squares in arbitrary orientation among points, On balanced 4-holes in bichromatic point sets, Convex polygons in Cartesian products, Faster counting empty convex polygons in a planar point set, Convex partial transversals of planar regions



Cites Work

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  • Geometric Knapsack problems
  • Greedoids
  • On a triangle counting problem
  • Topologically sweeping an arrangement
  • Counting \(k\)-subsets and convex \(k\)-gons in the plane
  • Finding minimum area \(k\)-gons
  • Counting convex \(k\)-gons in planar point sets
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