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119
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IPL
2008
129views more  IPL 2008»
15 years 2 months ago
Parameterized approximation of dominating set problems
A problem open for many years is whether there is an FPT algorithm that given a graph G and parameter k, either: (1) determines that G has no k-Dominating Set, or (2) produces a do...
Rodney G. Downey, Michael R. Fellows, Catherine Mc...
146
Voted
CSR
2007
Springer
15 years 8 months ago
Ruling Out Polynomial-Time Approximation Schemes for Hard Constraint Satisfaction Problems
The maximum constraint satisfaction problem (Max CSP) is the following computational problem: an instance is a finite collection of constraints on a set of variables, and the goal...
Peter Jonsson, Andrei A. Krokhin, Fredrik Kuivinen
ICALP
2007
Springer
15 years 8 months ago
Parameterized Approximability of the Disjoint Cycle Problem
Abstract. We give an fpt approximation algorithm for the directed vertex disjoint cycle problem. Given a directed graph G with n vertices and a positive integer k, the algorithm co...
Martin Grohe, Magdalena Grüber
ICALP
2005
Springer
15 years 8 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
CIAC
2003
Springer
142views Algorithms» more  CIAC 2003»
15 years 6 months ago
Differential Approximation for Some Routing Problems
We study vehicle routing problems with constraints on the distance traveled by each vehicle or on the number of vehicles. The objective is to minimize the total distance traveled b...
Cristina Bazgan, Refael Hassin, Jérôm...