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APPROX
2006
Springer
121views Algorithms» more  APPROX 2006»
13 years 11 months ago
A Randomized Solver for Linear Systems with Exponential Convergence
Abstract. The Kaczmarz method for solving linear systems of equations Ax = b is an iterative algorithm that has found many applications ranging from computer tomography to digital ...
Thomas Strohmer, Roman Vershynin
APPROX
2006
Springer
91views Algorithms» more  APPROX 2006»
13 years 11 months ago
Threshold Functions for Asymmetric Ramsey Properties Involving Cliques
Consider the following problem: For given graphs G and F1, . . . , Fk, find a coloring of the edges of G with k colors such that G does not contain Fi in color i. For example, if e...
Martin Marciniszyn, Jozef Skokan, Reto Spöhel...
APPROX
2006
Springer
179views Algorithms» more  APPROX 2006»
13 years 11 months ago
On Bounded Distance Decoding for General Lattices
A central problem in the algorithmic study of lattices is the closest vector problem: given a lattice v represented by some basis, and a target point y, nd the lattice point close...
Yi-Kai Liu, Vadim Lyubashevsky, Daniele Micciancio
APPROX
2006
Springer
103views Algorithms» more  APPROX 2006»
13 years 11 months ago
Approximation Algorithms for Graph Homomorphism Problems
Michael Langberg, Yuval Rabani, Chaitanya Swamy
APPROX
2006
Springer
105views Algorithms» more  APPROX 2006»
13 years 11 months ago
Space Complexity vs. Query Complexity
Abstract. Combinatorial property testing deals with the following relaxation of decision problems: Given a fixed property and an input x, one wants to decide whether x satisfies th...
Oded Lachish, Ilan Newman, Asaf Shapira
APPROX
2006
Springer
105views Algorithms» more  APPROX 2006»
13 years 11 months ago
Monotone Circuits for the Majority Function
We present a simple randomized construction of size O
Shlomo Hoory, Avner Magen, Toniann Pitassi
APPROX
2006
Springer
79views Algorithms» more  APPROX 2006»
13 years 11 months ago
On Nontrivial Approximation of CSPs
Johan Håstad
APPROX
2006
Springer
110views Algorithms» more  APPROX 2006»
13 years 11 months ago
Approximating Buy-at-Bulk and Shallow-Light k-Steiner Trees
Mohammad Taghi Hajiaghayi, Guy Kortsarz, Mohammad ...