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COCOON
2006
Springer
13 years 9 months ago
A Polynomial-Time Approximation Algorithm for a Geometric Dispersion Problem
We consider the problem of placing a set of disks in a region containing obstacles such that no two disks intersect. We are given a bounding polygon P and a set R of possibly inte...
Marc Benkert, Joachim Gudmundsson, Christian Knaue...
IFIP
2004
Springer
13 years 11 months ago
Solving Packing Problem with Weaker Block Solvers
We study the general packing problem with M constraints. In [Jansen and Zhang, TCS 2002] a c(1 + ε)-approximation algorithm for the general packing problem was proposed. A block s...
Hu Zhang
JCO
2010
182views more  JCO 2010»
13 years 4 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
STOC
1995
ACM
145views Algorithms» more  STOC 1995»
13 years 9 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
STACS
2009
Springer
14 years 12 days 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...