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STOC
2006
ACM
141views Algorithms» more  STOC 2006»
14 years 12 months ago
Zero-knowledge against quantum attacks
It is proved that several interactive proof systems are zero-knowledge against general quantum attacks. This includes the Goldreich?Micali?Wigderson classical zero-knowledge proto...
John Watrous
STOC
2006
ACM
116views Algorithms» more  STOC 2006»
14 years 12 months ago
Linear degree extractors and the inapproximability of max clique and chromatic number
: We derandomize results of H?astad (1999) and Feige and Kilian (1998) and show that for all > 0, approximating MAX CLIQUE and CHROMATIC NUMBER to within n1are NP-hard. We furt...
David Zuckerman
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 12 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang
STOC
2006
ACM
168views Algorithms» more  STOC 2006»
14 years 12 months ago
A combinatorial characterization of the testable graph properties: it's all about regularity
A common thread in all the recent results concerning the testing of dense graphs is the use of Szemer?edi's regularity lemma. In this paper we show that in some sense this is...
Noga Alon, Eldar Fischer, Ilan Newman, Asaf Shapir...
STOC
2006
ACM
108views Algorithms» more  STOC 2006»
14 years 12 months ago
Gowers uniformity, influence of variables, and PCPs
Gowers [Gow98, Gow01] introduced, for d 1, the notion of dimension-d uniformity Ud (f) of a function f : G C, where G is a finite abelian group. Roughly speaking, if a function ...
Alex Samorodnitsky, Luca Trevisan
STOC
2006
ACM
141views Algorithms» more  STOC 2006»
14 years 12 months ago
Lattice problems and norm embeddings
We present reductions from lattice problems in the 2 norm to the corresponding problems in other norms such as 1, (and in fact in any other p norm where 1 p ). We consider latt...
Oded Regev, Ricky Rosen
STOC
2006
ACM
91views Algorithms» more  STOC 2006»
14 years 12 months ago
Time-space trade-offs for predecessor search
Mihai Patrascu, Mikkel Thorup
STOC
2006
ACM
108views Algorithms» more  STOC 2006»
14 years 12 months ago
Extractors for a constant number of polynomially small min-entropy independent sources
We consider the problem of randomness extraction from independent sources. We construct an extractor that can extract from a constant number of independent sources of length n, ea...
Anup Rao