Publications of Giovanni Rinaldi

This page shows all publications that appeared in the IASI annual research reports. Authors currently affiliated with the Institute are always listed with the full name.

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IASI Research Report n. 325  (Previous    Next)


Chopra S., Giovanni Rinaldi

The graphical asymmetric Traveling Salesman Polyhedron: symmetric inequalities.

ABSTRACT
A present trend in the study of the Symmetric Traveling Salesman Polytope is to use, as a relaxation of the polytope, the graphical traveling salesman polyhedron (GTSP). Following a parallel approach for the Asymmetric Traveling Salesman Polytope, we define the Graphical Asimmetric Traveling Salesman Problem on a general digraph D and its associated polyhedron GATSP (D). We give basic polyhedral results and lifting theorems for GATSP(D) and we give a general condition for a facet defining inequality for GTSP to yield a symmetric facet defining inequality for GATSP. Using this approach we show that all known major families of facet defining inequalities of GTSP define facets of GATSP. Finally we discuss possible extension of these results to the Asymmetric Traveling Salesman Polytope.
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