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COMPGEOM
2004
ACM
15 years 6 months ago
On empty convex polygons in a planar point set
Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
Rom Pinchasi, Rados Radoicic, Micha Sharir
IFM
2004
Springer
15 years 6 months ago
Verifying Controlled Components
Recent work on combining CSP and B has provided ways of describing systems comprised of components described in both B (to express requirements on state) and CSP (to express intera...
Steve Schneider, Helen Treharne
87
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COMPGEOM
2003
ACM
15 years 6 months ago
Planar minimally rigid graphs and pseudo-triangulations
Pointed pseudo-triangulations are planar minimally rigid graphs embedded in the plane with pointed vertices (adjacent to an angle larger than π). In this paper we prove that the ...
Ruth Haas, David Orden, Günter Rote, Francisc...
FOCS
2002
IEEE
15 years 5 months ago
The Partition Technique for Overlays of Envelopes
We obtain a near-tight bound of O(n3+ε ), for any ε > 0, on the complexity of the overlay of the minimization diagrams of two collections of surfaces in four dimensions. This...
Vladlen Koltun, Micha Sharir
FOCS
1994
IEEE
15 years 4 months ago
A Spectral Approach to Lower Bounds
We establish a nonlinear lower bound for halfplane range searching over a group. Specifically, we show that summing up the weights of n (weighted) points within n halfplanes requir...
Bernard Chazelle