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» Approximation schemes for clustering problems
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CP
2004
Springer
15 years 5 months ago
Quality of LP-Based Approximations for Highly Combinatorial Problems
We study the quality of LP-based approximation methods for pure combinatorial problems. We found that the quality of the LPrelaxation is a direct function of the underlying constra...
Lucian Leahu, Carla P. Gomes
FOCS
1995
IEEE
15 years 3 months ago
An Approximation Scheme for Planar Graph TSP
We consider the special case of the traveling salesman problem TSP in which the distance metric is the shortest-path metric of a planar unweighted graph. We present a polynomial...
Michelangelo Grigni, Elias Koutsoupias, Christos H...
IPL
2008
78views more  IPL 2008»
14 years 11 months ago
An approximation ratio for biclustering
The problem of biclustering consists of the simultaneous clustering of rows and columns of a matrix such that each of the submatrices induced by a pair of row and column clusters ...
Kai Puolamäki, Sami Hanhijärvi, Gemma C....
EUROPAR
2008
Springer
15 years 1 months ago
Bi-objective Approximation Scheme for Makespan and Reliability Optimization on Uniform Parallel Machines
We study the problem of scheduling independent tasks on a set of related processors which have a probability of failure governed by an exponential law. We are interested in the bi-...
Emmanuel Jeannot, Erik Saule, Denis Trystram
MOR
2006
123views more  MOR 2006»
14 years 11 months ago
Bin Packing in Multiple Dimensions: Inapproximability Results and Approximation Schemes
We study the multidimensional generalization of the classical Bin Packing problem: Given a collection of d-dimensional rectangles of specified sizes, the goal is to pack them into ...
Nikhil Bansal, José R. Correa, Claire Kenyo...