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. 609  (Previous    Next)  

Naddef D., Giovanni Rinaldi

The symmetric traveling salesman polytope: new facets from the graphical relaxation

ABSTRACT
The path, the wheelbarrow, and the bicycle inequalities have been shown in [5] to be facet defining for the graphical relaxation of STSP(n), the polytope of the symmetric traveling salesman problem on an n-node complete graph. We show that these inequalities, and some generalizations of them, define facets also for STSP(n). In conclusion, we characterize a large family of facet defining inequalities for STSP(n) that include, as special cases, most of the inequalities currently known to have this property as the comb, the clique tree, and the chain inequalities. Most of the results given here come from a strong relationship of STSP(n) with its graphical relaxation that we have pointed out in [18], where the basic proof techniques are also described.
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