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STACS
2007
Springer
13 years 12 months ago
The Polynomially Bounded Perfect Matching Problem Is in NC 2
Abstract. The perfect matching problem is known to be in ¶, in randomized NC, and it is hard for NL. Whether the perfect matching problem is in NC is one of the most prominent ope...
Manindra Agrawal, Thanh Minh Hoang, Thomas Thierau...
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
13 years 11 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...
APPROX
2009
Springer
153views Algorithms» more  APPROX 2009»
14 years 11 days ago
Average-Case Analyses of Vickrey Costs
We explore the average-case “Vickrey” cost of structures in a random setting: the Vickrey cost of a shortest path in a complete graph or digraph with random edge weights; the V...
Prasad Chebolu, Alan M. Frieze, Páll Melste...
CORR
2010
Springer
94views Education» more  CORR 2010»
13 years 4 months ago
When LP is the Cure for Your Matching Woes: Improved Bounds for Stochastic Matchings
Abstract Consider a random graph model where each possible edge e is present independently with some probability pe. Given these probabilities, we want to build a large/heavy match...
Nikhil Bansal, Anupam Gupta, Jian Li, Juliá...
SODA
2012
ACM
240views Algorithms» more  SODA 2012»
11 years 8 months ago
Simultaneous approximations for adversarial and stochastic online budgeted allocation
Motivated by online ad allocation, we study the problem of simultaneous approximations for the adversarial and stochastic online budgeted allocation problem. This problem consists...
Vahab S. Mirrokni, Shayan Oveis Gharan, Morteza Za...