On the facial structure of Symmetric and Graphical Traveling Salesman Polyhedra

نویسنده

  • Dirk Oliver Theis
چکیده

The Symmetric Traveling Salesman Polytope Sn for a fixed number n of cities is a face of the corresponding Graphical Traveling Salesman Polyhedron Pn. This has been used to study facets of Sn using Pn as a tool. In this paper, we study the operation of “rotating” (or “lifting”) valid inequalities for Sn to obtain a valid inequalities for Pn. 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. CONTENTS

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عنوان ژورنال:
  • Discrete Optimization

دوره 12  شماره 

صفحات  -

تاریخ انتشار 2014