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CCCG
2010
14 years 11 months ago
Cluster connecting problem inside a polygon
The cluster connecting problem inside a simple polygon is introduced in this paper. The problem is shown to be NP-complete. A log n-factor approximation algorithm is proposed.
Sanjib Sadhu, Arijit Bishnu, Subhas C. Nandy, Part...
ICALP
2005
Springer
15 years 3 months ago
Linear Time Algorithms for Clustering Problems in Any Dimensions
Abstract. We generalize the k-means algorithm presented by the authors [14] and show that the resulting algorithm can solve a larger class of clustering problems that satisfy certa...
Amit Kumar, Yogish Sabharwal, Sandeep Sen
SODA
2000
ACM
127views Algorithms» more  SODA 2000»
14 years 11 months ago
Dimensionality reduction techniques for proximity problems
In this paper we give approximation algorithms for several proximity problems in high dimensional spaces. In particular, we give the rst Las Vegas data structure for (1 + )-neares...
Piotr Indyk
COCO
2006
Springer
89views Algorithms» more  COCO 2006»
15 years 1 months ago
Hardness of the Covering Radius Problem on Lattices
We provide the first hardness result for the Covering Radius Problem on lattices (CRP). Namely, we show that for any large enough p there exists a constant cp > 1 such that C...
Ishay Haviv, Oded Regev
DAM
2007
91views more  DAM 2007»
14 years 9 months ago
A note on the precedence-constrained class sequencing problem
We give a short proof of a result of Tovey [6] on the inapproximability of a scheduling problem known as precedence constrained class sequencing. In addition, we present an approxi...
José R. Correa, Samuel Fiorini, Nicol&aacut...