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A Tight Semidefinite Relaxation of the MAX CUT Problem

Author

Listed:
  • Hongwei Liu

    (Xidian University)

  • Sanyang Liu

    (Xidian University)

  • Fengmin Xu

    (Xi'an Jiaotong University)

Abstract

We obtain a tight semidefinite relaxation of the MAX CUT problem which improves several previous SDP relaxation in the literature. Not only is it a strict improvement over the SDP relaxation obtained by adding all the triangle inequalities to the well-known SDP relaxation, but also it satisfy Slater constraint qualification (strict feasibility).

Suggested Citation

  • Hongwei Liu & Sanyang Liu & Fengmin Xu, 2003. "A Tight Semidefinite Relaxation of the MAX CUT Problem," Journal of Combinatorial Optimization, Springer, vol. 7(3), pages 237-245, September.
    • Handle: RePEc:spr:jcomop:v:7:y:2003:i:3:d:10.1023_a:1027364420370
    DOI: 10.1023/A:1027364420370
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    References listed on IDEAS

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    1. Francisco Barahona & Martin Grötschel & Michael Jünger & Gerhard Reinelt, 1988. "An Application of Combinatorial Optimization to Statistical Physics and Circuit Layout Design," Operations Research, INFORMS, vol. 36(3), pages 493-513, June.
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