Abstract
We show that the maximum number of edges of m pairwise-disjoint x-monotone concave polygonal chains contained in the union of n lines is Θ(m 2 3n 2 3+n). The notion of a concave chain is extended to the case of pseudo l ines and the result is proven in this more general setting.
Original language | English |
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Pages (from-to) | 189-192 |
Number of pages | 4 |
Journal | Information Processing Letters |
Volume | 40 |
Issue number | 4 |
DOIs | |
State | Published - 25 Nov 1991 |
Keywords
- Computational geometry
- arrangements
- polygonal chains