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ICALP
2005
Springer
14 years 1 months ago
A Better Approximation Ratio for the Vertex Cover Problem
We reduce the approximation factor for Vertex Cover to 2 − Θ( 1√ log n ) (instead of the previous 2 − Θ(log log n log n ), obtained by Bar-Yehuda and Even [2], and by Moni...
George Karakostas
STACS
2009
Springer
14 years 2 months ago
On Approximating Multi-Criteria TSP
Abstract. We present approximation algorithms for almost all variants of the multicriteria traveling salesman problem (TSP), whose performances are independent of the number k of c...
Bodo Manthey
DCG
2010
107views more  DCG 2010»
13 years 2 months ago
An Optimization Problem Related to Minkowski's Successive Minima
Abstract The purpose of this paper is to establish an inequality connecting the lattice point enumerator of a 0-symmetric convex body with its successive minima. To this end, we in...
Romanos Malikiosis
COLT
2007
Springer
13 years 11 months ago
An Efficient Re-scaled Perceptron Algorithm for Conic Systems
Abstract. The classical perceptron algorithm is an elementary algorithm for solving a homogeneous linear inequality system Ax > 0, with many important applications in learning t...
Alexandre Belloni, Robert M. Freund, Santosh Vempa...
CCA
2009
Springer
14 years 2 months ago
Real Computation with Least Discrete Advice: A Complexity Theory of Nonuniform Computability
It is folklore particularly in numerical and computer sciences that, instead of solving some general problem f : A → B, additional structural information about the input x ∈ A ...
Martin Ziegler