关于圆形排列中许多面的复杂性

Proceedings 2001 IEEE International Conference on Cluster Computing Pub Date : 2001-10-14 DOI:10.1109/SFCS.2001.959882

P. Agarwal, B. Aronov, M. Sharir

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引用次数: 7

摘要

我们得到了n个圆和n个单位圆排列中m个不同面复杂度的改进界。对于单位圆，边界是最坏情况下最紧的，对于一般圆，它们几乎与m个点和n个圆之间的发生率的已知边界一致。

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On the complexity of many faces in arrangements of circles

We obtain improved bounds on the complexity of m distinct faces in an arrangement of n circles and in an arrangement of n unit circles. The bounds are worst-case tight for unit circles, and, for general circles, they nearly coincide with the best known bounds for the number of incidences between m points and n circles.

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Proceedings 2001 IEEE International Conference on Cluster Computing

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