par Fiorini, Samuel 
Référence SIAM journal on discrete mathematics, 20, 4, page (893-912)
Publication Publié, 2007
Référence SIAM journal on discrete mathematics, 20, 4, page (893-912)
Publication Publié, 2007
Article révisé par les pairs
| Résumé : | We find new facet-defining inequalities for the linear ordering polytope generalizing the well-known Möbius ladder inequalities. Our starting point is to observe that the natural derivation of the Möbius ladder inequalities as {0, 1/2}-cuts produces triangulations of the Möbius band and of the corresponding (closed) surface, the projective plane. In that sense, Möbius ladder inequalities have the same "shape" as the projective plane. Inspired by the classification of surfaces, a classic result in topology, we prove that a surface has facet-defining {0, 1/2}-cuts of the same "shape" if and only if it is nonorientable. © 2006 Society for Industrial and Applied Mathematics. |
