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IPL
2006
151views more  IPL 2006»
14 years 9 months ago
Approximating weighted matchings in parallel
We present an NC approximation algorithm for the weighted matching problem in graphs with an approximation ratio of (1 - ). This improves the previously best approximation ratio of...
Stefan Hougardy, Doratha E. Drake Vinkemeier
FOCS
2004
IEEE
15 years 1 months ago
Stochastic Optimization is (Almost) as easy as Deterministic Optimization
Stochastic optimization problems attempt to model uncertainty in the data by assuming that (part of) the input is specified in terms of a probability distribution. We consider the...
David B. Shmoys, Chaitanya Swamy
FOCS
2007
IEEE
15 years 3 months ago
Maximizing Non-Monotone Submodular Functions
Submodular maximization generalizes many important problems including Max Cut in directed/undirected graphs and hypergraphs, certain constraint satisfaction problems and maximum f...
Uriel Feige, Vahab S. Mirrokni, Jan Vondrák
STOC
2009
ACM
163views Algorithms» more  STOC 2009»
15 years 10 months ago
Non-monotone submodular maximization under matroid and knapsack constraints
Submodular function maximization is a central problem in combinatorial optimization, generalizing many important problems including Max Cut in directed/undirected graphs and in hy...
Jon Lee, Vahab S. Mirrokni, Viswanath Nagarajan, M...
IPCO
1998
152views Optimization» more  IPCO 1998»
14 years 10 months ago
Approximation Bounds for a General Class of Precedence Constrained Parallel Machine Scheduling Problems
Abstract. A well studied and difficult class of scheduling problems concerns parallel machines and precedence constraints. In order to model more realistic situations, we consider ...
Alix Munier, Maurice Queyranne, Andreas S. Schulz