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Integrality and cutting planes in semidefinite programming approaches for combinatorial optimization

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  • de Meijer, Frank

    (Tilburg University, School of Economics and Management)

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  • de Meijer, Frank, 2023. "Integrality and cutting planes in semidefinite programming approaches for combinatorial optimization," Other publications TiSEM b1f1088c-95fe-4b8a-9e15-c, Tilburg University, School of Economics and Management.
  • Handle: RePEc:tiu:tiutis:b1f1088c-95fe-4b8a-9e15-c7960d97d68e
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    References listed on IDEAS

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    1. Yichuan Ding & Dongdong Ge & Henry Wolkowicz, 2011. "On Equivalence of Semidefinite Relaxations for Quadratic Matrix Programming," Mathematics of Operations Research, INFORMS, vol. 36(1), pages 88-104, February.
    2. Juliane Dunkel & Andreas S. Schulz, 2012. "The Gomory-Chvátal Closure of a Non-Rational Polytope is a Rational Polytope," Operations Research Proceedings, in: Diethard Klatte & Hans-Jakob Lüthi & Karl Schmedders (ed.), Operations Research Proceedings 2011, edition 127, pages 587-592, Springer.
    3. Eranda Çela & Vladimir G. Deineko & Gerhard J. Woeginger, 2016. "Linearizable special cases of the QAP," Journal of Combinatorial Optimization, Springer, vol. 31(3), pages 1269-1279, April.
    4. 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.
    5. Warren P. Adams & Hanif D. Sherali, 1986. "A Tight Linearization and an Algorithm for Zero-One Quadratic Programming Problems," Management Science, INFORMS, vol. 32(10), pages 1274-1290, October.
    6. Daniel Dadush & Santanu S. Dey & Juan Pablo Vielma, 2011. "The Chvátal-Gomory Closure of a Strictly Convex Body," Mathematics of Operations Research, INFORMS, vol. 36(2), pages 227-239, May.
    7. Paolo Carraresi & Federico Malucelli, 1992. "A New Lower Bound for the Quadratic Assignment Problem," Operations Research, INFORMS, vol. 40(1-supplem), pages 22-27, February.
    8. Ante Ćustić & Abraham P. Punnen, 2018. "A characterization of linearizable instances of the quadratic minimum spanning tree problem," Journal of Combinatorial Optimization, Springer, vol. 35(2), pages 436-453, February.
    9. Bomze, Immanuel M. & Gabl, Markus, 2023. "Optimization under uncertainty and risk: Quadratic and copositive approaches," European Journal of Operational Research, Elsevier, vol. 310(2), pages 449-476.
    10. FERREIRA, Carlos E. & MARTIN, Alexander & de SOUZA, Cid C. & WEISMANTEL, Robert, 1998. "The node capacitated graph partitioning problem: A computational study," LIDAM Reprints CORE 1335, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Warren P. Adams & Hanif D. Sherali, 1990. "Linearization Strategies for a Class of Zero-One Mixed Integer Programming Problems," Operations Research, INFORMS, vol. 38(2), pages 217-226, April.
    12. Arjang Assad & Weixuan Xu, 1992. "The quadratic minimum spanning tree problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(3), pages 399-417, April.
    13. Adelaide Cerveira & Agostinho Agra & Fernando Bastos & Joaquim Gromicho, 2013. "A new Branch and Bound method for a discrete truss topology design problem," Computational Optimization and Applications, Springer, vol. 54(1), pages 163-187, January.
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