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A novel formulation of the max-cut problem and related algorithm

Author

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  • Yang, Qingzhi
  • Li, Yiyong
  • Huang, Pengfei

Abstract

In this paper, a new formulation of the max-cut problem is proposed. Several semidefinite programming(SDP) relaxations of the max-cut problem are given and some relationships between them are put forward. Based on a new SDP relaxation, an algorithm is presented for finding a better approximate solution of the max-cut problem and we show the advantages of our model and algorithm with several examples.

Suggested Citation

  • Yang, Qingzhi & Li, Yiyong & Huang, Pengfei, 2020. "A novel formulation of the max-cut problem and related algorithm," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    • Handle: RePEc:eee:apmaco:v:371:y:2020:i:c:s0096300319309622
    DOI: 10.1016/j.amc.2019.124970
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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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