论文标题

关于中间曲线问题的复杂性

On the complexity of the middle curve problem

论文作者

Buchin, Maike, Funk, Nicole, Krivošija, Amer

论文摘要

对于一组曲线,Ahn等人。引入了中间曲线的概念,并给出了算法在曲线数中以运行时间指数计算的算法。在这里,我们研究了此问题的计算复杂性:我们表明它是NP完整的,并提供了近似算法。

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.

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