On the complexity of the middle curve problem

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Maike Buchin, Nicole Funk, Amer Krivosija

Published: 01 Jan 2020, Last Modified: 02 Oct 2024CoRR 2020EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: For a set of curves, Ahn et al. introduced the notion of a middle curve and gave algorithms computing these with run time exponential in the number of curves. Here we study the computational complexity of this problem: we show that it is NP-complete and give approximation algorithms.