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IPL
2006
151views more  IPL 2006»
13 years 8 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
SODA
2010
ACM
234views Algorithms» more  SODA 2010»
14 years 5 months ago
PTAS for maximum weight independent set problem with random weights in bounded degree graphs
Finding the largest independent set in a graph is a notoriously difficult NP-complete combinatorial optimization problem. Moreover, even for graphs with largest degree 3, no polyn...
David Gamarnik, David Goldberg, Theophane Weber
MOR
2000
90views more  MOR 2000»
13 years 8 months ago
A PTAS for Minimizing the Total Weighted Completion Time on Identical Parallel Machines
We consider the problem of scheduling a set of n jobs on m identical parallel machines so as to minimize the weighted sum of job completion times. This problem is NP-hard in the s...
Martin Skutella, Gerhard J. Woeginger
SIGECOM
2003
ACM
135views ECommerce» more  SIGECOM 2003»
14 years 1 months ago
Playing large games using simple strategies
We prove the existence of -Nash equilibrium strategies with support logarithmic in the number of pure strategies. We also show that the payoffs to all players in any (exact) Nash...
Richard J. Lipton, Evangelos Markakis, Aranyak Meh...
WG
2005
Springer
14 years 1 months ago
Approximation Algorithms for the Weighted Independent Set Problem
In unweighted case, approximation ratio for the independent set problem has been analyzed in terms of the graph parameters, such as the number of vertices, maximum degree, and aver...
Akihisa Kako, Takao Ono, Tomio Hirata, Magnú...