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STOC
2005
ACM
143views Algorithms» more  STOC 2005»
14 years 10 months ago
Optimal approximations of the frequency moments of data streams
We give a 1-pass ~O(m1-2/k )-space algorithm for computing the k-th frequency moment of a data stream for any real k > 2. Together with the lower bounds of [1, 2, 4], this reso...
Piotr Indyk, David P. Woodruff
STOC
2005
ACM
110views Algorithms» more  STOC 2005»
14 years 10 months ago
Key agreement from weak bit agreement
Assume that Alice and Bob, given an authentic channel, have a protocol where they end up with a bit SA and SB, respectively, such that with probability 1+ 2 these bits are equal. ...
Thomas Holenstein
STOC
2005
ACM
138views Algorithms» more  STOC 2005»
14 years 10 months ago
Fast quantum algorithms for computing the unit group and class group of a number field
Computing the unit group and class group of a number field are two of the main tasks in computational algebraic number theory. Factoring integers reduces to solving Pell's eq...
Sean Hallgren
STOC
2005
ACM
104views Algorithms» more  STOC 2005»
14 years 10 months ago
Oblivious routing in directed graphs with random demands
Mohammad Taghi Hajiaghayi, Jeong Han Kim, Tom Leig...
STOC
2005
ACM
120views Algorithms» more  STOC 2005»
14 years 10 months ago
Limits to list decoding Reed-Solomon codes
In this paper, we prove the following two results that expose some combinatorial limitations to list decoding ReedSolomon codes.
Venkatesan Guruswami, Atri Rudra
STOC
2005
ACM
130views Algorithms» more  STOC 2005»
14 years 10 months ago
From a static impossibility to an adaptive lower bound: the complexity of early deciding set agreement
Set agreement, where processors decisions constitute a set of outputs, is notoriously harder to analyze than consensus where the decisions are restricted to a single output. This ...
Eli Gafni, Rachid Guerraoui, Bastian Pochon
STOC
2005
ACM
113views Algorithms» more  STOC 2005»
14 years 10 months ago
Efficient testing of groups
We construct an efficient probabilistic algorithm that, given a finite set with a binary operation, tests if it is an abelian group. The distance used is an analogue of the edit d...
Katalin Friedl, Gábor Ivanyos, Miklos Santh...
STOC
2005
ACM
76views Algorithms» more  STOC 2005»
14 years 10 months ago
Hierarchies for semantic classes
Lance Fortnow, Rahul Santhanam, Luca Trevisan
STOC
2005
ACM
104views Algorithms» more  STOC 2005»
14 years 10 months ago
Beyond NP: the work and legacy of Larry Stockmeyer
Shortly after Steven Cook and Richard Karp showed the existence of many natural NP-complete languages, researchers started to realize the great importance of the P versus NP probl...
Lance Fortnow