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[ACM Press the thirty-ninth annual ACM symposium - San Diego, California, USA (2007.06.11-2007.06.13)] Proceedings of the thirty-ninth annual ACM symposium on Theory of computing - STOC '07 - The condition number of a randomly perturbed matrix

✍ Scribed by Vu, Van H.; Tao, Terence


Book ID
121479688
Publisher
ACM Press
Year
2007
Weight
240 KB
Category
Article
ISBN
1595936319

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[ACM Press the thirty-ninth annual ACM s
✍ Agarwal, Amit; Alon, Noga; Charikar, Moses S. πŸ“‚ Article πŸ“… 2007 πŸ› ACM Press βš– 265 KB

We present improved approximation algorithms for directed multicut and directed sparsest cut. The current best known approximation ratio for these problems is O(n 1/2 ). We obtain an Γ•(n 11/23 )-approximation. Our algorithm works with the natural LP relaxation used in prior work. We use a randomized