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Communication Dans Un Congrès Année : 2003

A procedure of facet composition for the symmetric Traveling Salesman Polytope

Résumé

We propose a new procedure of facet composition for the Symmetric Traveling Salesman Polytope(STSP). Applying this procedure to the well-known comb inequalities, we obtain completely or partially known classes of inequalities like clique-tree, star, hyperstar, ladder inequalities for STSP. This provides a proof that a large subset of hyperstar inequalities which are until now only known to be valid, are indeed facets defining inequalities of STSP and this also generalizes ladder inequalities to a larger class. Finally, we describe some new facet defining inequalities obtained by applying the procedure.

Dates et versions

hal-01530092 , version 1 (31-05-2017)

Identifiants

Citer

Jean-François Maurras, Viet Hung Nguyen. A procedure of facet composition for the symmetric Traveling Salesman Polytope. 5th Aussois Workshop on Combinatorial Optimization, Mar 2001, Aussois, France. pp.134-146, ⟨10.1007/3-540-36478-1_13⟩. ⟨hal-01530092⟩
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