Department of Computer Science
 
Chair V

 
University of Bonn -> Department of Computer Science -> Chair V
CS-APX-Reports 2007 Copyright 2007 University of Bonn, Department of Computer Science, Abt. V
89110

05.12.2007

Approximating Transitive Reductions for Directed Networks
Piotr Berman, Bhaskar DasGupta and Marek Karpinski
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We consider minimum equivalent digraph (directed network) problem (also known as the strong transitive reduction), its maximumoptimization variant, and some extensions of those two types of problems. We prove the existence of polynomial time approximation algorithms with ratios1.5 for all the minimization problems and 2 for all the maximization problems. We establish also approximation hardness result for those problems to within aconstant even if the length of cycles is bounded by 5.

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