Finding minimum area simple pentagons

Finding minimum area simple pentagons

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Article ID: iaor2002929
Country: Netherlands
Volume: 21
Issue: 5
Start Page Number: 229
End Page Number: 233
Publication Date: Dec 1997
Journal: Operations Research Letters
Authors: ,
Keywords: geometry
Abstract:

Given a set P of n points in the plane, we want to find a simple, not necessarily convex, pentagon Q with vertices in P of minimum area. We present an algorithm for solving this problem in time O(nT(n)) and space O(n), where T(n) is the number of empty triangles in the set.

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