The Graphical Traveling Salesman Polyhedron is the intersection of the positive orthant with the Minkowski sum of the Symmetric Traveling Salesman Polytope and the polar of the metric cone
Dirk Oliver Theis · arXiv (Cornell University) · 2008
In this short communication, we observe that the Graphical Traveling Salesman Polyhedron is the intersection of the positive orthant with the Minkowski sum of the Symmetric Traveling Salesman Polytope and the polar of the metric cone. This follows trivially from known facts. There are two reasons why we find this observation worth communicating none-the-less: It is very surprising; it helps to understanding the relationship between these two important families of polyhedra.