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» Explicit OR-Dispersers with Polylogarithmic Degree
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JACM
1998
51views more  JACM 1998»
13 years 4 months ago
Explicit OR-Dispersers with Polylogarithmic Degree
Michael E. Saks, Aravind Srinivasan, Shiyu Zhou
FOCS
2007
IEEE
13 years 11 months ago
Polylogarithmic Independence Can Fool DNF Formulas
We show that any k-wise independent probability distribution on {0, 1}n O(m2.22− √ k/10)fools any boolean function computable by an m-clause DNF (or CNF) formula on n variable...
Louay Bazzi
RANDOM
2001
Springer
13 years 9 months ago
Near-optimum Universal Graphs for Graphs with Bounded Degrees
d Abstract) Noga Alon1, , Michael Capalbo2, , Yoshiharu Kohayakawa3, , Vojtˇech R¨odl4,† , Andrzej Ruci´nski5,‡ , and Endre Szemer´edi6,§ 1 Department of Mathematics, Raym...
Noga Alon, Michael R. Capalbo, Yoshiharu Kohayakaw...
CC
2010
Springer
135views System Software» more  CC 2010»
13 years 5 months ago
Counting Irreducible Components of Complex Algebraic Varieties
Abstract. We present an algorithm for counting the irreducible components of a complex algebraic variety defined by a fixed number of polynomials encoded as straight-line programs ...
Peter Bürgisser, Peter Scheiblechner
RSA
2008
89views more  RSA 2008»
13 years 4 months ago
Simple permutations mix even better
We study the random composition of a small family of O(n3 ) simple permutations on {0, 1}n . Specifically we ask how many randomly selected simple permutations need be composed to...
Alex Brodsky, Shlomo Hoory