Buchheim, Christoph
ORCID: 0000-0001-9974-404X and Jünger, Michael
(2005).
Linear Optimization over Permutation Groups.
Discrete Optimization, 2 (4).
pp. 308-319.
Springer.
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Abstract
For a permutation group given by a set of generators, the problem of finding "special" group members is NP-hard in many cases. E.g., this is true for the problem of finding a permutation with a minimum number of fixed points or a permutation with a minimal Hamming distance from a given permutation. Many of these problems can be modeled as linear optimization problems over permutation groups. We develop a polyhedral approach to this general problem and derive an exact and practically fast algorithm based on the branch&cut-technique.
| Item Type: | Article |
| Creators: | Creators Email ORCID ORCID Put Code Jünger, Michael UNSPECIFIED UNSPECIFIED UNSPECIFIED |
| URN: | urn:nbn:de:hbz:38-548769 |
| Journal or Publication Title: | Discrete Optimization |
| Volume: | 2 |
| Number: | 4 |
| Page Range: | pp. 308-319 |
| Date: | 2005 |
| Publisher: | Springer |
| Language: | English |
| Faculty: | Faculty of Mathematics and Natural Sciences |
| Divisions: | Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Institute of Computer Science |
| Subjects: | Data processing Computer science |
| Refereed: | No |
| URI: | http://kups.ub.uni-koeln.de/id/eprint/54876 |
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https://orcid.org/0000-0001-9974-404X