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Four point conditions and exponential neighborhoods for symmetric TSP
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Deineko, Vladimir, Klinz, Bettina and Woeginger, Gerhard J. (2006) Four point conditions and exponential neighborhoods for symmetric TSP. In: 17th ACM-SIAM Symposium on Discrete Algorithms, Miami, Florida, Jan 2006. Published in: Proceedings of the Seventeenth Annual ACM-SIAM Symposium on Discrete Algorithms pp. 544-553. ISBN 978-0-89871-605-4. doi:10.1145/1109557.1109617
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Abstract
In most of the known polynomially solvable cases of the symmetric travelling salesman problem (TSP) which result from restrictions on the underlying distance matrices, the restrictions have the form of so-called four-point conditions (the inequalities involve four cities). In this paper we treat all possible (symmetric) four-point conditions and investigate whether the corresponding TSP can be solved in polynomial time. As a by-product of our classification we obtain new families of exponential neighborhoods for the TSP which can be searched in polynomial time and for which conditions on the distance matrix can be formulated so that the search for an optimal TSP solution can be restricted to these exponential neighborhoods.
| Item Type: | Conference Item (Paper) | ||||
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| Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software Q Science > QA Mathematics |
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| Divisions: | Faculty of Social Sciences > Warwick Business School | ||||
| Journal or Publication Title: | Proceedings of the Seventeenth Annual ACM-SIAM Symposium on Discrete Algorithms | ||||
| Publisher: | SIAM | ||||
| ISBN: | 978-0-89871-605-4 | ||||
| Official Date: | 2006 | ||||
| Dates: |
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| Number of Pages: | 10 | ||||
| Page Range: | pp. 544-553 | ||||
| DOI: | 10.1145/1109557.1109617 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Conference Paper Type: | Paper | ||||
| Title of Event: | 17th ACM-SIAM Symposium on Discrete Algorithms | ||||
| Type of Event: | Other | ||||
| Location of Event: | Miami, Florida | ||||
| Date(s) of Event: | Jan 2006 |
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