A semidefinite programming-based heuristic for graph coloring

@article{Dukanovic2008ASP,
  title={A semidefinite programming-based heuristic for graph coloring},
  author={Igor Dukanovic and Franz Rendl},
  journal={Discrete Applied Mathematics},
  year={2008},
  volume={156},
  pages={180-189}
}
The Lovász θ-function is a well-known polynomial lower bound on the chromatic number. Any near optimal solution of its semidefinite programming formulation carries valuable information on how to color the graph. A self-contained presentation of the role of this formulation in obtaining heuristics for the graph coloring problem is presented. 

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