The Steiner Traveling Salesman Polytope and Related Polyhedra
Baïou, Mourad; Mahjoub, Ali Ridha (2002), The Steiner Traveling Salesman Polytope and Related Polyhedra, SIAM Journal on Optimization, 13, 2, p. 498-507. http://dx.doi.org/10.1137/S1052623400322287
TypeArticle accepté pour publication ou publié
Journal nameSIAM Journal on Optimization
MetadataShow full item record
Abstract (EN)In this paper we consider an extended formulation of the Steiner traveling salesman problem, that is, when variables are associated with both the edges and the nodes of the graph. We give a complete linear description of the associated polytope when the underlying graph is series-parallel. By projecting this polytope onto the edge variables, we obtain a characterization of the Steiner traveling salesman polytope in the same class of graphs. Both descriptions yield polynomial time (cutting plane) algorithms for the corresponding problems in that class of graphs.
Subjects / KeywordsPolyhedral combinatorics; Polytopes; Traveling salesman problem
Showing items related by title and author.