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JCO
2010
182views more  JCO 2010»
13 years 3 months ago
Polynomial time approximation schemes for minimum disk cover problems
The following planar minimum disk cover problem is considered in this paper: given a set D of n disks and a set P of m points in the Euclidean plane, where each disk covers a subse...
Chen Liao, Shiyan Hu
CSR
2007
Springer
13 years 10 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
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
13 years 9 months ago
Approximation Schemes for Steiner Forest on Planar Graphs and Graphs of Bounded Treewidth
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi a...
MST
2007
167views more  MST 2007»
13 years 4 months ago
The Complexity of Polynomial-Time Approximation
In 1996, Khanna and Motwani [KM96] proposed three logic-based optimization problems constrained by planar structure, and offered the hypothesis that these putatively fundamental ...
Liming Cai, Michael R. Fellows, David W. Juedes, F...
APPROX
2009
Springer
131views Algorithms» more  APPROX 2009»
13 years 11 months ago
An Approximation Scheme for Terrain Guarding
We obtain a polynomial time approximation scheme for the terrain guarding problem improving upon several recent constant factor approximations. Our algorithm is a local search algo...
Matt Gibson, Gaurav Kanade, Erik Krohn, Kasturi R....