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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, School of Economics and Management)

  • Pasechnik, D.V.

    (Tilburg University, School of Economics and Management)

  • Sotirov, R.

    (Tilburg University, School of Economics and Management)

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)," Other publications TiSEM ea23cd70-a3b1-401a-aa3f-0, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:ea23cd70-a3b1-401a-aa3f-045344716153
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    File URL: https://pure.uvt.nl/ws/portalfiles/portal/1046696/2008-96.pdf
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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).
    Full references (including those not matched with items on IDEAS)

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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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