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JCSS
2002
199views more  JCSS 2002»
13 years 7 months ago
A Constant-Factor Approximation Algorithm for the k-Median Problem
We present the first constant-factor approximation algorithm for the metric k-median problem. The k-median problem is one of the most well-studied clustering problems, i.e., those...
Moses Charikar, Sudipto Guha, Éva Tardos, D...
IWPEC
2004
Springer
14 years 25 days ago
The Minimum Weight Triangulation Problem with Few Inner Points
We propose to look at the computational complexity of 2-dimensional geometric optimization problems on a finite point set with respect to the number of inner points (that is, poi...
Michael Hoffmann, Yoshio Okamoto
ICALP
2009
Springer
14 years 7 months ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
ALGORITHMICA
2004
74views more  ALGORITHMICA 2004»
13 years 7 months ago
Three-Dimensional Layers of Maxima
Abstract. We present an O(n log n)-time algorithm to solve the threedimensional layers-of-maxima problem, an improvement over the prior O(n log n log log n)-time solution. A previo...
Adam L. Buchsbaum, Michael T. Goodrich
EDBT
2006
ACM
191views Database» more  EDBT 2006»
14 years 7 months ago
Distributed Spatial Clustering in Sensor Networks
Abstract. Sensor networks monitor physical phenomena over large geographic regions. Scientists can gain valuable insight into these phenomena, if they understand the underlying dat...
Anand Meka, Ambuj K. Singh