The Steiner tree polytope and related polyhedra
نویسنده
چکیده
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-defining valid inequalities for the Steiner tree polytope.
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ورودعنوان ژورنال:
- Math. Program.
دوره 63 شماره
صفحات -
تاریخ انتشار 1994