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EOR
2006
83views more  EOR 2006»
13 years 5 months ago
Lower bounds and heuristic algorithms for the k
We consider the problem of partitioning a set of positive integers values into a given number of subsets, each having an associated cardinality limit, so that the maximum sum of v...
Mauro Dell'Amico, Manuel Iori, Silvano Martello, M...
ANTS
2008
Springer
103views Algorithms» more  ANTS 2008»
13 years 7 months ago
On Prime-Order Elliptic Curves with Embedding Degrees k = 3, 4, and 6
Abstract. We further analyze the solutions to the Diophantine equations from which prime-order elliptic curves of embedding degrees k = 3, 4 or 6 (MNT curves) may be obtained. We g...
Koray Karabina, Edlyn Teske
ALGORITHMICA
2005
108views more  ALGORITHMICA 2005»
13 years 5 months ago
How Fast Is the k-Means Method?
We present polynomial upper and lower bounds on the number of iterations performed by the k-means method (a.k.a. Lloyd's method) for k-means clustering. Our upper bounds are ...
Sariel Har-Peled, Bardia Sadri
STOC
1991
ACM
127views Algorithms» more  STOC 1991»
13 years 8 months ago
Lower Bounds for Randomized k-Server and Motion Planning Algorithms
In this paper, we prove lower bounds on the competitive ratio of randomized algorithms for two on-line problems: the k-server problem, suggested by [MMS], and an on-line motion-pl...
Howard J. Karloff, Yuval Rabani, Yiftach Ravid
ESA
2004
Springer
129views Algorithms» more  ESA 2004»
13 years 10 months ago
Contraction and Treewidth Lower Bounds
Edge contraction is shown to be a useful mechanism to improve lower bound heuristics for treewidth. A successful lower bound for treewidth is the degeneracy: the maximum over all ...
Hans L. Bodlaender, Arie M. C. A. Koster, Thomas W...