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» On the Complexity of the Sperner Lemma
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FOCS
2007
IEEE
13 years 11 months ago
Discrepancy and the Power of Bottom Fan-in in Depth-three Circuits
We develop a new technique of proving lower bounds for the randomized communication complexity of boolean functions in the multiparty `Number on the Forehead' model. Our meth...
Arkadev Chattopadhyay
COCO
2005
Springer
130views Algorithms» more  COCO 2005»
13 years 10 months ago
Pseudorandom Bits for Constant Depth Circuits with Few Arbitrary Symmetric Gates
We exhibit an explicitly computable ‘pseudorandom’ generator stretching l bits into m(l) = lΩ(log l) bits that look random to constant-depth circuits of size m(l) with log m...
Emanuele Viola
APPROX
2010
Springer
213views Algorithms» more  APPROX 2010»
13 years 9 months ago
Constructive Proofs of Concentration Bounds
We give a simple combinatorial proof of the Chernoff-Hoeffding concentration bound [Che52, Hoe63], which says that the sum of independent {0, 1}-valued random variables is highly ...
Russell Impagliazzo, Valentine Kabanets
APAL
2010
124views more  APAL 2010»
13 years 8 months ago
The effective theory of Borel equivalence relations
The study of Borel equivalence relations under Borel reducibility has developed into an important area of descriptive set theory. The dichotomies of Silver ([19]) and Harrington-K...
Ekaterina B. Fokina, Sy-David Friedman, Asger T&ou...
DCG
2008
118views more  DCG 2008»
13 years 8 months ago
General-Dimensional Constrained Delaunay and Constrained Regular Triangulations, I: Combinatorial Properties
Two-dimensional constrained Delaunay triangulations are geometric structures that are popular for interpolation and mesh generation because they respect the shapes of planar domai...
Jonathan Richard Shewchuk