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» The Guarding Problem - Complexity and Approximation
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COCOA
2008
Springer
13 years 10 months ago
Elementary Approximation Algorithms for Prize Collecting Steiner Tree Problems
This paper deals with approximation algorithms for the prize collecting generalized Steiner forest problem, defined as follows. The input is an undirected graph G = (V, E), a colle...
Shai Gutner
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
14 years 3 months ago
Small Approximate Pareto Sets for Bi-objective Shortest Paths and Other Problems
We investigate the problem of computing a minimum set of solutions that approximates within a specified accuracy the Pareto curve of a multiobjective optimization problem. We show...
Ilias Diakonikolas, Mihalis Yannakakis
ICALP
2001
Springer
14 years 1 months ago
Approximation Algorithms for Partial Covering Problems
We study the generalization of covering problems to partial covering. Here we wish to cover only a desired number of elements, rather than covering all elements as in standard cov...
Rajiv Gandhi, Samir Khuller, Aravind Srinivasan
IPL
2008
129views more  IPL 2008»
13 years 8 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...
ICALP
2005
Springer
14 years 2 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