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» Argument Reduction by Factoring
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FOCS
2000
IEEE
15 years 2 months ago
Stable Distributions, Pseudorandom Generators, Embeddings and Data Stream Computation
In this article, we show several results obtained by combining the use of stable distributions with pseudorandom generators for bounded space. In particular: —We show that, for a...
Piotr Indyk
IJAC
2006
93views more  IJAC 2006»
14 years 9 months ago
On Word Reversing in Braid Groups
It has been conjectured that in a braid group, or more generally in a Garside group, applying any sequence of monotone equivalences and word reversings can increase the length of a...
Patrick Dehornoy, Bert Wiest
FOCS
2008
IEEE
15 years 4 months ago
Beating the Random Ordering is Hard: Inapproximability of Maximum Acyclic Subgraph
We prove that approximating the Max Acyclic Subgraph problem within a factor better than 1/2 is Unique-Games hard. Specifically, for every constant ε > 0 the following holds:...
Venkatesan Guruswami, Rajsekar Manokaran, Prasad R...
TOC
2008
94views more  TOC 2008»
14 years 9 months ago
Optimal lower bounds for the Korkine-Zolotareff parameters of a lattice and for Schnorr's algorithm for the shortest vector prob
Abstract: Schnorr's algorithm for finding an approximation for the shortest nonzero vector in an n-dimensional lattice depends on a parameter k. He proved that for a fixed k ...
Miklós Ajtai
FOCS
2007
IEEE
15 years 4 months ago
Linear Equations Modulo 2 and the L1 Diameter of Convex Bodies
We design a randomized polynomial time algorithm which, given a 3-tensor of real numbers A = {aijk}n i,j,k=1 such that for all i, j, k ∈ {1, . . . , n} we have ai jk = aik j = a...
Subhash Khot, Assaf Naor