The Steiner tree polytope and related polyhedra

@article{Goemans1994TheST,
  title={The Steiner tree polytope and related polyhedra},
  author={Michel X. Goemans},
  journal={Math. Program.},
  year={1994},
  volume={63},
  pages={157-182}
}
We consider the vertex-weighted version of the undirected Steiner tree problem. In this problem, a cost is incurred both for the vertices and the edges present in the Steiner tree. We completely describe the associated polytope by linear inequalities when the underlying graph is series-parallel. For general graphs, this formulation can be interpreted as a (partial) extended formulation for the Steiner tree problem. By projecting this formulation, we obtain some very large classes of facet… CONTINUE READING
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