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COCOON
2006
Springer
14 years 2 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...
ICC
2008
IEEE
130views Communications» more  ICC 2008»
14 years 5 months ago
A Polynomial-Time Approximation Algorithm for Weighted Sum-Rate Maximization in UWB Networks
— Scheduling in an ad hoc wireless network suffers from the non-convexity of the cost function, caused by the interference between communication links. In previous optimization t...
Gyouhwan Kim, Qiao Li, Rohit Negi
APPROX
2005
Springer
131views Algorithms» more  APPROX 2005»
14 years 4 months ago
Approximation Schemes for Node-Weighted Geometric Steiner Tree Problems
Abstract. In this paper we introduce a new technique for approximation schemes for geometrical optimization problems. As an example problem, we consider the following variant of th...
Jan Remy, Angelika Steger
DCG
2010
137views more  DCG 2010»
13 years 11 months ago
Improved Results on Geometric Hitting Set Problems
We consider the problem of computing minimum geometric hitting sets in which, given a set of geometric objects and a set of points, the goal is to compute the smallest subset of p...
Nabil H. Mustafa, Saurabh Ray
STOC
1995
ACM
145views Algorithms» more  STOC 1995»
14 years 2 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