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» Bounded Arithmetic and Descriptive Complexity
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AAECC
2007
Springer
109views Algorithms» more  AAECC 2007»
14 years 1 months ago
The Tangent FFT
The split-radix FFT computes a size-n complex DFT, when n is a large power of 2, using just 4n lg n−6n+8 arithmetic operations on real numbers. This operation count was first an...
Daniel J. Bernstein
DIMACS
2001
13 years 8 months ago
On the Number of Connected Components of the Relative Closure of a Semi-Pfaffian Family
The notion of relative closure (X, Y )0 of a semi-Pfaffian couple (X, Y ) was introduced by Gabrielov to give a description of the o-minimal structure generated by Pfaffian functio...
Andrei Gabrielov, Thierry Zell
EM
2010
155views Management» more  EM 2010»
13 years 7 months ago
Hyperbolic Graphs of Small Complexity
In this paper we enumerate and classify the "simplest" pairs (M, G) where M is a closed orientable 3-manifold and G is a trivalent graph embedded in M. To enumerate the p...
Damian Heard, Craig Hodgson, Bruno Martelli, Carlo...
COMPGEOM
2003
ACM
14 years 20 days ago
Curve-sensitive cuttings
We introduce (1/r)-cuttings for collections of surfaces in 3-space that are sensitive to an additional collection of curves. Specifically, let S be a set of n surfaces in R3 of c...
Vladlen Koltun, Micha Sharir
STOC
2006
ACM
92views Algorithms» more  STOC 2006»
14 years 7 months ago
On the importance of idempotence
Range searching is among the most fundamental problems in computational geometry. An n-element point set in Rd is given along with an assignment of weights to these points from so...
Sunil Arya, Theocharis Malamatos, David M. Mount