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AMC
2008
94views more  AMC 2008»
13 years 7 months ago
Equality conditions for lower bounds on the smallest singular value of a bidiagonal matrix
Several lower bounds have been proposed for the smallest singular value of a square matrix, such as Johnson's bound, Brauer-type bound, Li's bound and Ostrowskitype boun...
Yusaku Yamamoto
FOCS
2008
IEEE
14 years 2 months ago
Submodular Approximation: Sampling-based Algorithms and Lower Bounds
We introduce several generalizations of classical computer science problems obtained by replacing simpler objective functions with general submodular functions. The new problems i...
Zoya Svitkina, Lisa Fleischer
STOC
1991
ACM
127views Algorithms» more  STOC 1991»
13 years 11 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
EOR
2006
83views more  EOR 2006»
13 years 7 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...
STOC
2007
ACM
142views Algorithms» more  STOC 2007»
14 years 7 months ago
Lower bounds for randomized read/write stream algorithms
Motivated by the capabilities of modern storage architectures, we consider the following generalization of the data stream model where the algorithm has sequential access to multi...
Paul Beame, T. S. Jayram, Atri Rudra