On the Parsimonious Property of Connectivity Problems

  title={On the Parsimonious Property of Connectivity Problems},
  author={Michel X. Goemans and Dimitris Bertsimas},
We consider the problem of designing a network with edge-connectivity requirements. As special cases, this problem encompasses the Steiner tree problem and the traveling salesman problem (TSP). We establish a property, referred to as the parsimonious property, of the linear programming (LP) relaxation of a classical formulation for the problem. The parsimonious property has several important consequences, both algorithmically and theoretically. Among other results, we derive a tight worst-case… CONTINUE READING