Article révisé par les pairs
| Résumé : | The Symmetric Traveling Salesman Polytope S for a fixed number n of cities is a face of the corresponding Graphical Traveling Salesman Polyhedron P. This has been used to study facets of S using P as a tool. In this paper, we study the operation of "rotating" (or "lifting") valid inequalities for S to obtain a valid inequalities for P. As an application, we describe a surprising relationship between (a) the parsimonious property of relaxations of the Symmetric Traveling Salesman Polytope and (b) a connectivity property of the ridge graph of the Graphical Traveling Salesman Polyhedron. © 2013 Elsevier B.V. All rights reserved. |
