APPROX
2005
Springer
14 years 5 months ago
2005
Springer
APPROX
2005
Springer
14 years 5 months ago
2005
Springer
There has been significant interest lately in the task of constructing codes that are testable with a small number of random probes. Ben-Sasson and Sudan show that the repeated te...
APPROX
2005
Springer
14 years 5 months ago
2005
Springer
Abstract. We give a generic construction of an optimal hitting set generator (HSG) from any good “reconstructive” disperser. Past constructions of optimal HSGs have been based ...
APPROX
2005
Springer
14 years 5 months ago
2005
Springer
We resolve two open problems presented in [8]. First, we consider the problem of reconstructing an unknown string T over a fixed alphabet using queries of the form “does the st...
APPROX
2005
Springer
14 years 5 months ago
2005
Springer
The field of stochastic optimization studies decision making under uncertainty, when only probabilistic information about the future is available. Finding approximate solutions to...
APPROX
2005
Springer
14 years 5 months ago
2005
Springer
Traditionally, a fundamental assumption in evaluating the performance of algorithms for sorting and selection has been that comparing any two elements costs one unit (of time, work...
APPROX
2005
Springer
14 years 5 months ago
2005
Springer
Optimal dispersers have better dependence on the error than optimal extractors. In this paper we give explicit disperser constructions that beat the best possible extractors in so...
APPROX
2005
Springer
14 years 5 months ago
2005
Springer
We introduce a “derandomized” analogue of graph squaring. This operation increases the connectivity of the graph (as measured by the second eigenvalue) almost as well as squar...
APPROX
2005
Springer
14 years 5 months ago
2005
Springer
Abstract. In this paper we introduce a new technique for approximation schemes for geometrical optimization problems. As an example problem, we consider the following variant of th...
APPROX
2005
Springer
14 years 5 months ago
2005
Springer
A caterpillar is a tree in which all vertices of degree three or more lie on one path, called the backbone. We present a polynomial time algorithm that produces a linear arrangeme...