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» Explicit OR-Dispersers with Polylogarithmic Degree
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JACM
1998
51views more  JACM 1998»
13 years 9 months ago
Explicit OR-Dispersers with Polylogarithmic Degree
Michael E. Saks, Aravind Srinivasan, Shiyu Zhou
FOCS
2007
IEEE
14 years 4 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
14 years 2 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 10 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 9 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