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STOC
2003
ACM
164views Algorithms» more  STOC 2003»
14 years 9 months ago
Approximate counting by dynamic programming
We give efficient algorithms to sample uniformly, and count approximately, the solutions to a zero-one knapsack problem. The algorithm is based on using dynamic programming to pro...
Martin E. Dyer
ESA
2003
Springer
140views Algorithms» more  ESA 2003»
14 years 1 months ago
Improved Approximation of the Stable Marriage Problem
The stable marriage problem has recently been studied in its general setting, where both ties and incomplete lists are allowed. It is NP-hard to find a stable matching of maximum ...
Magnús M. Halldórsson, Kazuo Iwama, ...
FOCS
2010
IEEE
13 years 6 months ago
Black-Box Randomized Reductions in Algorithmic Mechanism Design
We give the first black-box reduction from arbitrary approximation algorithms to truthful approximation mechanisms for a non-trivial class of multiparameter problems. Specifically,...
Shaddin Dughmi, Tim Roughgarden
IPL
2007
70views more  IPL 2007»
13 years 8 months ago
An improved approximation ratio for the minimum linear arrangement problem
We observe that combining the techniques of Arora, Rao, and Vazirani, with the rounding algorithm of Rao and Richa yields an O( √ log n log log n)-approximation for the minimum-...
Uriel Feige, James R. Lee
STOC
2007
ACM
94views Algorithms» more  STOC 2007»
14 years 9 months ago
Sampling-based dimension reduction for subspace approximation
We give a randomized bi-criteria algorithm for the problem of finding a k-dimensional subspace that minimizes the Lp-error for given points, i.e., p-th root of the sum of p-th
Amit Deshpande, Kasturi R. Varadarajan