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SODA
2010
ACM
232views Algorithms» more  SODA 2010»
14 years 7 months ago
Faster exponential time algorithms for the shortest vector problem
We present new faster algorithms for the exact solution of the shortest vector problem in arbitrary lattices. Our main result shows that the shortest vector in any n-dimensional l...
Daniele Micciancio, Panagiotis Voulgaris
COR
2002
58views more  COR 2002»
13 years 9 months ago
Fast heuristics for large scale covering-location problems
We propose fast heuristics for large-scale covering-location problems in which the set of demand points is discrete and the set of potential location sites is continuous. These he...
Luce Brotcorne, Gilbert Laporte, Fréd&eacut...
ORL
2007
102views more  ORL 2007»
13 years 9 months ago
Using critical sets to solve the maximum independent set problem
A method that utilizes the polynomially solvable critical independent set problem for solving the maximum independent set problem on graphs with a nonempty critical independent se...
Sergiy Butenko, Svyatoslav Trukhanov
SODA
2010
ACM
234views Algorithms» more  SODA 2010»
14 years 7 months ago
PTAS for maximum weight independent set problem with random weights in bounded degree graphs
Finding the largest independent set in a graph is a notoriously difficult NP-complete combinatorial optimization problem. Moreover, even for graphs with largest degree 3, no polyn...
David Gamarnik, David Goldberg, Theophane Weber
SODA
2010
ACM
168views Algorithms» more  SODA 2010»
14 years 7 months ago
An O(log n/log log n)-approximation algorithm for the asymmetric traveling salesman problem
We consider the Asymmetric Traveling Salesman problem for costs satisfying the triangle inequality. We derive a randomized algorithm which delivers a solution within a factor O(lo...
Arash Asadpour, Michel X. Goemans, Aleksander Madr...