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SODA
2010
ACM
177views Algorithms» more  SODA 2010»
16 years 4 months ago
On the Exact Space Complexity of Sketching and Streaming Small Norms
We settle the 1-pass space complexity of (1 ? )approximating the Lp norm, for real p with 1 p 2, of a length-n vector updated in a length-m stream with updates to its coordinate...
Daniel M. Kane, Jelani Nelson, David P. Woodruff
FOCS
2009
IEEE
16 years 1 months ago
Regularity Lemmas and Combinatorial Algorithms
— We present new combinatorial algorithms for Boolean matrix multiplication (BMM) and preprocessing a graph to answer independent set queries. We give the first asymptotic impro...
Nikhil Bansal, Ryan Williams
FSTTCS
2007
Springer
16 years 24 days ago
Solving Parity Games in Big Steps
Abstract. This paper proposes a new algorithm that improves the complexity bound for solving parity games. Our approach combines McNaughton’s iterated fixed point algorithm with...
Sven Schewe
FOCS
1997
IEEE
15 years 10 months ago
Beyond the Flow Decomposition Barrier
We introduce a new approach to the maximum flow problem. This approach is based on assigning arc lengths based on the residual flow value and the residual arc capacities. Our appro...
Andrew V. Goldberg, Satish Rao
CRYPTO
2000
Springer
277views Cryptology» more  CRYPTO 2000»
15 years 10 months ago
Almost Independent and Weakly Biased Arrays: Efficient Constructions and Cryptologic Applications
The best known constructions for arrays with low bias are those from [1] and the exponential sum method based on the WeilCarlitz-Uchiyama bound. They all yield essentially the same...
Jürgen Bierbrauer, Holger Schellwat