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On Semidefinite Programming Relaxations of the Traveling Salesman Problem (revision of DP 2007-101)

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  • de Klerk, E.

    (Tilburg University, Center For Economic Research)

  • Pasechnik, D.V.

    (Tilburg University, Center For Economic Research)

  • Sotirov, R.

    (Tilburg University, Center For Economic Research)

Abstract

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Suggested Citation

  • de Klerk, E. & Pasechnik, D.V. & Sotirov, R., 2008. "On Semidefinite Programming Relaxations of the Traveling Salesman Problem (revision of DP 2007-101)," Discussion Paper 2008-96, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:ea23cd70-a3b1-401a-aa3f-045344716153
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    References listed on IDEAS

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    1. Michael Held & Richard M. Karp, 1970. "The Traveling-Salesman Problem and Minimum Spanning Trees," Operations Research, INFORMS, vol. 18(6), pages 1138-1162, December.
    2. 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.
    3. 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.
    4. 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.
    5. 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).
    6. 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.
    7. 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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    Cited by:

    1. Sungwoo Park & Dianne P. O’Leary, 2015. "A Polynomial Time Constraint-Reduced Algorithm for Semidefinite Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 166(2), pages 558-571, August.
    2. E. de Klerk & R. Sotirov & U. Truetsch, 2015. "A New Semidefinite Programming Relaxation for the Quadratic Assignment Problem and Its Computational Perspectives," INFORMS Journal on Computing, INFORMS, vol. 27(2), pages 378-391, May.
    3. de Klerk, E. & Pasechnik, D.V., 2009. "On Semidefinite Programming Relaxations of Association Schemes With Application to Combinatorial Optimization Problems," Discussion Paper 2009-54, Tilburg University, Center for Economic Research.
    4. Michael Orlitzky, 2021. "Gaddum’s test for symmetric cones," Journal of Global Optimization, Springer, vol. 79(4), pages 927-940, April.
    5. Klerk, Etienne de, 2010. "Exploiting special structure in semidefinite programming: A survey of theory and applications," European Journal of Operational Research, Elsevier, vol. 201(1), pages 1-10, February.
    6. Vivek Bagaria & Jian Ding & David Tse & Yihong Wu & Jiaming Xu, 2020. "Hidden Hamiltonian Cycle Recovery via Linear Programming," Operations Research, INFORMS, vol. 68(1), pages 53-70, January.
    7. de Klerk, E. & Pasechnik, D.V., 2009. "On Semidefinite Programming Relaxations of Association Schemes With Application to Combinatorial Optimization Problems," Other publications TiSEM 3b5033a4-98bc-4969-aa57-d, Tilburg University, School of Economics and Management.

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