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Area-Optimal Simple Polygonalizations: The CG Challenge 2019 (2111.07304v1)
Published 14 Nov 2021 in cs.CG and cs.DS
Abstract: We give an overview of theoretical and practical aspects of finding a simple polygon of minimum (Min-Area) or maximum (Max-Area) possible area for a given set of n points in the plane. Both problems are known to be NP-hard and were the subject of the 2019 Computational Geometry Challenge, which presented the quest of finding good solutions to more than 200 instances, ranging from n = 10 all the way to n = 1, 000, 000.
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