On Semidefinite Programming Relaxations of the Travelling Salesman Problem (Replaced by DP 2008-96)
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- de Klerk, E. & Pasechnik, D.V. & Sotirov, R., 2007. "On Semidefinite Programming Relaxations of the Travelling Salesman Problem (Replaced by DP 2008-96)," Other publications TiSEM 12999d3d-956a-4660-9ae4-5, Tilburg University, School of Economics and Management.
References listed on IDEAS
- Michael Held & Richard M. Karp, 1970. "The Traveling-Salesman Problem and Minimum Spanning Trees," Operations Research, INFORMS, vol. 18(6), pages 1138-1162, December.
- G. Dantzig & R. Fulkerson & S. Johnson, 1954. "Solution of a Large-Scale Traveling-Salesman Problem," Operations Research, INFORMS, vol. 2(4), pages 393-410, November.
- de Klerk, E. & Sotirov, R., 2007.
"Exploiting Group Symmetry in Semidefinite Programming Relaxations of the Quadratic Assignment Problem,"
Discussion Paper
2007-44, Tilburg University, Center for Economic Research.
- de Klerk, E. & Sotirov, R., 2010. "Exploiting group symmetry in semidefinite programming relaxations of the quadratic assignment problem," Other publications TiSEM 73287c80-3bc2-40c4-b02d-4, Tilburg University, School of Economics and Management.
- de Klerk, E. & Sotirov, R., 2007. "Exploiting Group Symmetry in Semidefinite Programming Relaxations of the Quadratic Assignment Problem," Other publications TiSEM 87a5d126-86e5-4863-8ea5-1, Tilburg University, School of Economics and Management.
- Qing Zhao & Stefan E. Karisch & Franz Rendl & Henry Wolkowicz, 1998. "Semidefinite Programming Relaxations for the Quadratic Assignment Problem," Journal of Combinatorial Optimization, Springer, vol. 2(1), pages 71-109, March.
- GOEMANS, Michel & RENDL, Franz, 1999. "Semidefinite programs and association schemes," LIDAM Discussion Papers CORE 1999062, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- T. Christof & G. Reinelt, 1996. "Combinatorial optimization and small polytopes," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 4(1), pages 1-53, June.
- WOLSEY, Laurence A., 1980. "Heuristic analysis, linear programming and branch and bound," LIDAM Reprints CORE 407, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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Keywords
traveling salesman problem; semidefinite programming; quadratic as- signment problem;All these keywords.
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