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APPROX
2006
Springer
121views Algorithms» more  APPROX 2006»
14 years 3 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»
14 years 3 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»
14 years 3 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»
14 years 3 months ago
Approximation Algorithms for Graph Homomorphism Problems
Michael Langberg, Yuval Rabani, Chaitanya Swamy
APPROX
2006
Springer
105views Algorithms» more  APPROX 2006»
14 years 3 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»
14 years 3 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»
14 years 3 months ago
On Nontrivial Approximation of CSPs
Johan Håstad
APPROX
2006
Springer
110views Algorithms» more  APPROX 2006»
14 years 3 months ago
Approximating Buy-at-Bulk and Shallow-Light k-Steiner Trees
Mohammad Taghi Hajiaghayi, Guy Kortsarz, Mohammad ...