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FOCS
2010
IEEE
13 years 6 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
MFCS
2001
Springer
14 years 1 months ago
The k-Median Problem for Directed Trees
Abstract Marek Chrobak1 , Lawrence L. Larmore2 , and Wojciech Rytter3,4 1 Department of Computer Science, University of California Riverside, CA 92521 2 Department of Computer Scie...
Marek Chrobak, Lawrence L. Larmore, Wojciech Rytte...
ICDCS
2008
IEEE
14 years 3 months ago
Fair K Mutual Exclusion Algorithm for Peer to Peer Systems
k-mutual exclusion is an important problem for resourceintensive peer-to-peer applications ranging from aggregation to file downloads. In order to be practically useful, k-mutual...
Vijay Anand Reddy, Prateek Mittal, Indranil Gupta
ICALP
2010
Springer
14 years 1 months ago
On the Inapproximability of Vertex Cover on k-Partite k-Uniform Hypergraphs
Computing a minimum vertex cover in graphs and hypergraphs is a well-studied optimizaton problem. While intractable in general, it is well known that on bipartite graphs, vertex c...
Venkatesan Guruswami, Rishi Saket