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A Hereditary Property of Cutting Plane Procedures

Cornuéjols, Gérard et al.
arXiv (All) · Papers
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optimization-and-control
Let $K'$ denote the closure of a convex set $K$ under a given cutting-plane procedure. The procedure satisfies the \emph{hereditary property} if $F' = K' \cap F$ for every face $F$ of $K$. The property underlies inductive proofs of finite-rank and the polyhedrality of closures, and it is an admissib
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