A Branch and Cut solver for the maximum stable set problem

@article{Rebennack2011ABA,
  title={A Branch and Cut solver for the maximum stable set problem},
  author={Steffen Rebennack and Marcus Oswald and Dirk Oliver Theis and Hanna Seitz and Gerhard Reinelt and Panos M. Pardalos},
  journal={J. Comb. Optim.},
  year={2011},
  volume={21},
  pages={434-457}
}
This paper deals with the cutting-plane approach to the maximum stable set problem. We provide theoretical results regarding the facet-defining property of inequalities obtained by a known project-and-lift-style separation method called edge-projection, and its variants. An implementation of a Branch and Cut algorithm is described, which uses edge-projection and two other separation tools which have been discussed for other problems: local cuts (pioneered by Applegate, Bixby, Chvátal and Cook… CONTINUE READING

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