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Journal Articles Discrete Mathematics Year : 2021

Convexly independent subsets of Minkowski sums of convex polygons

Abstract

We show that there exist convex n-gons P and Q such that the largest convex polygon in the Minkowski sum P + Q has size Θ(n log n). This matches an upper bound of Tiwary.
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Dates and versions

hal-03457272 , version 1 (30-11-2021)

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Attribution - NonCommercial - NoDerivatives - CC BY 4.0

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Mateusz Skomra, Stéphan Thomassé. Convexly independent subsets of Minkowski sums of convex polygons. Discrete Mathematics, 2021, 344 (8), pp.112472. ⟨10.1016/j.disc.2021.112472⟩. ⟨hal-03457272⟩
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