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KKT Stresses, Affine Moments, and Separator Flux in the Heilbronn Triangle Problem

Trela, Dawid
arXiv (All) · Papers
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51m2590c46combinatoricsmetric-geometryoptimization-and-control
For n points in the unit square, the Heilbronn triangle problem asks for the largest possible minimum triangle area. We develop a variational stress theory for this max-min problem. At every positive-area local optimum, normalized Karush-Kuhn-Tucker multipliers assemble into a skew matrix B satisfyi
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