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COMPGEOM
2004
ACM
16 years 2 days 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
COMPGEOM
2003
ACM
15 years 12 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 11 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 10 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
ESOP
2006
Springer
15 years 10 months ago
Step-Indexed Syntactic Logical Relations for Recursive and Quantified Types
We present a sound and complete proof technique, based on syntactic logical relations, for showing contextual equivalence of expressions in a -calculus with recursive types and imp...
Amal J. Ahmed