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STOC
2002
ACM
126views Algorithms» more  STOC 2002»
14 years 10 months ago
Polynomial-time quantum algorithms for Pell's equation and the principal ideal problem
We give polynomial-time quantum algorithms for three problems from computational algebraic number theory. The first is Pell's equation. Given a positive nonsquare integer d, ...
Sean Hallgren
STOC
2002
ACM
152views Algorithms» more  STOC 2002»
14 years 10 months ago
Universally composable two-party and multi-party secure computation
d Abstract) Ran Canetti Yehuda Lindell Rafail Ostrovsky Amit Sahai? We show how to securely realize any multi-party functionality in a universally composable way, regardless of th...
Ran Canetti, Yehuda Lindell, Rafail Ostrovsky, Ami...
STOC
2002
ACM
149views Algorithms» more  STOC 2002»
14 years 10 months ago
The complexity of choosing an H-colouring (nearly) uniformly at random
Cooper, Dyer and Frieze studied the problem of sampling H-colourings (nearly) uniformly at random. Special cases of this problem include sampling colourings and independent sets a...
Leslie Ann Goldberg, Steven Kelk, Mike Paterson
CORR
2010
Springer
117views Education» more  CORR 2010»
13 years 9 months ago
Reductions Between Expansion Problems
The Small-Set Expansion Hypothesis (Raghavendra, Steurer, STOC 2010) is a natural hardness assumption concerning the problem of approximating the edge expansion of small sets in g...
Prasad Raghavendra, David Steurer, Madhur Tulsiani
STOC
2005
ACM
174views Algorithms» more  STOC 2005»
14 years 10 months ago
On the average case performance of some greedy approximation algorithms for the uncapacitated facility location problem
In combinatorial optimization, a popular approach to NP-hard problems is the design of approximation algorithms. These algorithms typically run in polynomial time and are guarante...
Abraham Flaxman, Alan M. Frieze, Juan Carlos Vera