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WADS
2009
Springer
243views Algorithms» more  WADS 2009»
14 years 2 months ago
Approximation Algorithms for Buy-at-Bulk Geometric Network Design
Abstract. The buy-at-bulk network design problem has been extensively studied in the general graph model. In this paper we consider the geometric version of the problem, where all ...
Artur Czumaj, Jurek Czyzowicz, Leszek Gasieniec, J...
MST
2007
167views more  MST 2007»
13 years 7 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...
ISAAC
2009
Springer
140views Algorithms» more  ISAAC 2009»
14 years 2 months ago
Shifting Strategy for Geometric Graphs without Geometry
We give a simple framework which is an alternative to the celebrated and widely used shifting strategy of Hochbaum and Maass [J. ACM, 1985] which has yielded efficient algorithms ...
Imran A. Pirwani
DCG
2010
137views more  DCG 2010»
13 years 8 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
2003
ACM
140views Algorithms» more  STOC 2003»
14 years 8 months ago
Approximation schemes for clustering problems
We present a general approach for designing approximation algorithms for a fundamental class of geometric clustering problems in arbitrary dimensions. More specifically, our appro...
Wenceslas Fernandez de la Vega, Marek Karpinski, C...