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JCO
2010
182views more  JCO 2010»
13 years 5 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
SODA
2008
ACM
138views Algorithms» more  SODA 2008»
13 years 8 months ago
Fully polynomial time approximation schemes for stochastic dynamic programs
We develop a framework for obtaining Fully Polynomial Time Approximation Schemes (FPTASs) for stochastic univariate dynamic programs with either convex or monotone single-period c...
Nir Halman, Diego Klabjan, Chung-Lun Li, James B. ...
STOC
1995
ACM
145views Algorithms» more  STOC 1995»
13 years 11 months ago
Polynomial time approximation schemes for dense instances of NP-hard problems
We present a unified framework for designing polynomial time approximation schemes (PTASs) for “dense” instances of many NP-hard optimization problems, including maximum cut,...
Sanjeev Arora, David R. Karger, Marek Karpinski
FOCS
2008
IEEE
14 years 1 months ago
A Polynomial-Time Approximation Scheme for Euclidean Steiner Forest
We give a randomized O(n polylog n)-time approximation scheme for the Steiner forest problem in the Euclidean plane. For every fixed ǫ > 0 and given n terminals in the plane ...
Glencora Borradaile, Philip N. Klein, Claire Mathi...
STACS
2009
Springer
14 years 2 months ago
Polynomial-Time Approximation Schemes for Subset-Connectivity Problems in Bounded-Genus Graphs
We present the first polynomial-time approximation schemes (PTASes) for the following subset-connectivity problems in edge-weighted graphs of bounded genus: Steiner tree, low-conn...
Glencora Borradaile, Erik D. Demaine, Siamak Tazar...