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» Improved Algorithms for the k Maximum-Sums Problems
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191
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IPL
1998
119views more  IPL 1998»
15 years 6 months ago
A 2.5-Factor Approximation Algorithm for the k-MST Problem
The k-MST problem requires finding that subset of at least k vertices of a given graph whose Minimum Spanning Tree has least weight amongst all subsets of at least k vertices. Th...
Sunil Arya, H. Ramesh
195
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JCSS
2002
199views more  JCSS 2002»
15 years 6 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...
197
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SWAT
2010
Springer
270views Algorithms» more  SWAT 2010»
15 years 11 months ago
Improved Algorithm for Degree Bounded Survivable Network Design Problem
Anand Louis, Nisheeth K. Vishnoi
CATS
1998
15 years 8 months ago
Finding the k Most Vital Edges with Respect to Minimum Spanning Trees for k=2 and 3
Let G(V, E) be a weighted, undirected, connected simple graph with n vertices and m edges. The k most vital edge problem with respect to minimum spanning trees is to find a set S o...
Weifa Liang, George Havas
229
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FOCS
2010
IEEE
15 years 4 months ago
Stability Yields a PTAS for k-Median and k-Means Clustering
We consider k-median clustering in finite metric spaces and k-means clustering in Euclidean spaces, in the setting where k is part of the input (not a constant). For the k-means pr...
Pranjal Awasthi, Avrim Blum, Or Sheffet