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arXiv · 2202.12175

Removing Popular Faces in Curve Arrangements

Phoebe de Nooijer·Soeren Terziadis·Alexandra Weinberger·Zuzana Masárová·Tamara Mchedlidze·Maarten Löffler·Günter Rote
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Abstract

A face in a curve arrangement is called popular if it is bounded by the same curve multiple times. Motivated by the automatic generation of curved nonogram puzzles, we investigate possibilities to eliminate the popular faces in an arrangement by inserting a single additional curve. This turns out to be NP-hard; however, it becomes tractable when the number of popular faces is small: We present a probabilistic FPT-approach in the number of popular faces.

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Phoebe de Nooijer, Soeren Terziadis, Alexandra Weinberger, Zuzana Masárová, Tamara Mchedlidze, Maarten Löffler, Günter Rote. 2022-02-24. Removing Popular Faces in Curve Arrangements. https://arxiv.org/abs/2202.12175

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