# A Branch-and-Cut Algorithm for the Resolution of Large-Scale Symmetric Traveling Salesman Problems

@article{Padberg1991ABA, title={A Branch-and-Cut Algorithm for the Resolution of Large-Scale Symmetric Traveling Salesman Problems}, author={Manfred W. Padberg and Giovanni Rinaldi}, journal={SIAM Rev.}, year={1991}, volume={33}, pages={60-100} }

An algorithm is described for solving large-scale instances of the Symmetric Traveling Salesman Problem (STSP) to optimality. The core of the algorithm is a “polyhedral” cutting-plane procedure that exploits a subset of the system of linear inequalities defining the convex hull of the incidence vectors of the hamiltonian cycles of a complete graph. The cuts are generated by several identification procedures that have been described in a companion paper. Whenever the cutting-plane procedure does…

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