The number of small semispaces of a finite set of points in the plane
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SCG '88 Proceedings of the fourth annual symposium on Computational geometry
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Davenport-Schinzel sequences and their geometric applications
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Crossing Numbers and Hard Erdös Problems in Discrete Geometry
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Selecting Points that are Heavily Covered by Pseudo-Circles, Spheres or Rectangles
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On approximating the depth and related problems
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Crossing patterns of semi-algebraic sets
Journal of Combinatorial Theory Series A
Higher-order Voronoi diagrams on triangulated surfaces
Information Processing Letters
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Transactions on computational science IX
Constructing two-dimensional Voronoi diagrams via divide-and-conquer of envelopes in space
Transactions on computational science IX
Cuttings for disks and axis-aligned rectangles
WADS'07 Proceedings of the 10th international conference on Algorithms and Data Structures
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We provide an alternative, simpler and more general derivation of the Clarkson–Shor probabilistic technique [7] and use it to obtain several extensions and new combinatorial bounds.