11 Mars - 17 Mars


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Mardi 12 Mars
Heure: 12:30 - 13:30
Lieu: Salle B107, bâtiment B, Université de Villetaneuse
Résumé: Reverse Chvatal-Gomory rank.
Description: Roland Grappe We introduce the reverse Chvatal-Gomory rank r*(P) of an integral
polyhedron P, defined as the supremum of the Chvatal-Gomory ranks of all
rational polyhedra whose integer hull is P. A well-known example in
dimension two shows that there exist integral polytopes P with r*(P)
infinite. We provide a geometric characterization of polyhedra with this
property in general dimension, and investigate upper bounds on r*(P)
when this value is finite.
This is a joint work with Michele Conforti, Alberto Del Pia, Marco Di
Summa and Yuri Faenza.