Abstract
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.
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Maurras, J.F., Nguyen, V.H. (2003). A Procedure of Facet Composition for the Symmetric Traveling Salesman Polytope. In: Jünger, M., Reinelt, G., Rinaldi, G. (eds) Combinatorial Optimization — Eureka, You Shrink!. Lecture Notes in Computer Science, vol 2570. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36478-1_13
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DOI: https://doi.org/10.1007/3-540-36478-1_13
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