Department of Computer Science
 
Chair V

 
University of Bonn -> Department of Computer Science -> Chair V
CS-Reports 2003 Copyright 2003 University of Bonn, Department of Computer Science, Abt. V
85250

05.05.2003

Approximation Schemes for Metric Minimum Bisection and Partitioning
W. Fernandez de la Vega, Marek Karpinski and Claire Kenyon
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We design polynomial time approximation schemes (PTASs) for Metric MIN-BISECTION, i.e. dividing a given {finite metric} space into two halves so as to minimize the sum of distances across the cut. The method extends to partitioning problems with arbitrary size constraints. Our approximation schemes depend on a hybrid placement method and on a new application of linearized quadratic programs.

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University of Bonn -> Department of Computer Science -> Chair V