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A new approximation algorithm for the asymmetric TSP with triangle inequality
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ACM Transactions on Algorithms (TALG) archive
Volume 4 ,  Issue 4  (August 2008) table of contents
Article No.: 47  
Year of Publication: 2008
ISSN:1549-6325
Author
Markus Bläser  Saarland University, Saarbrücken, Germany
Publisher
ACM  New York, NY, USA
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ABSTRACT

We present a polynomial time factor 0.999 ċ log n approximation algorithm for the asymmetric traveling salesperson problem with triangle inequality.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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Bläser, M. 2004. A 3/4-approximation algorithm for MaxATSP with weights zero and one. In Proceedings of the 7th International Workshop on Approximation Algorithms for Combinatorial Optimization (APPROX). Lecture Notes in Computer Science, vol. 3122. 61--71.
 
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Bläser, M., and Manthey, B. 2005. Approximating maximum weight cycle covers in directed graphs with edge weights zero and one. Algorithmica 41, 2, 121--139.
 
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Bläser, M., Manthey, B., and Sgall, J. An improved approximation algorithm for the asymmetric TSP with strengthened triangle inequality. J. Discrete Algor. To appear.
 
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Christofides, N. 1976. Worst-case analysis of a new heuristic for the travelling salesman problem. In Algorithms and Complexity: New Directions and Recent Results, J. F. Traub, Ed. Academic Press, 441.
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Frieze, A. M., Galbiati, G., and Maffioli, F. 1982. On the worst-case performance of some algorithms for the asymmetric traveling salesman problem. Networks 12, 1, 23--39.
 
11
 
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Johnson, D. S. 1974. Approximation algorithms for combinatorial problems. J. Comput. Syst. Sci 9, 256--278.
 
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Johnson, D. S., Gutin, G., McGeoch, L. A., Yeo, A., Zhang, W., and Zverovitch, A. 2002. Experimental analysis of heuristics for the ATSP. In The Traveling Salesman Problem and Its Variations, G. Gutin and A. P. Punnen, Eds. Combinatorial Optimization, vol. 12. Kluwer.
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Karp, R. M. 1978. A characterization of the minimum cycle mean in a digraph. Discrete Math. 23, 309--311.
 
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Lawler, E. L., Lenstra, J. K., Kan, A. H. G. R., and Shmoys, D. B., Eds. 1985. The Traveling Salesman Problem. Wiley.
 
17
 
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Williamson, D. P. 1999. Lecture notes on approximation algorithms. Tech. rep. RC 21409, IBM T. J. Watson Research Center.