Finding extremal polygons

  • Authors:
  • James E. Boyce;David P. Dobkin;Robert L.(Scot) Drysdale, III;Leo J. Guibas

  • Affiliations:
  • -;-;-;-

  • Venue:
  • STOC '82 Proceedings of the fourteenth annual ACM symposium on Theory of computing
  • Year:
  • 1982

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Abstract

Given n points in the plane, we present algorithms for finding maximum perimeter or area convex k-gons with vertices k of the given n points. Our algorithms work in linear space and time O(knlg n + n lg 2n). For the special case k -&-equil; 3 we give O (nlgn) algorithms for these problems. Several related issues are discussed.