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• W2122062020 abstract "Given an integral polyhedron $Psubseteqmathbb{R}^n$ and a rational polyhedron $Qsubseteqmathbb{R}^n$ containing the same integer points as $P$, we investigate how many iterations of the Chvátal--Gomory closure operator have to be performed on $Q$ to obtain a polyhedron contained in the affine hull of $P$. We show that if $P$ contains an integer point in its relative interior, then such a number of iterations can be bounded by a function depending only on $n$. On the other hand, we prove that if $P$ is not full-dimensional and does not contain any integer point in its relative interior, then no finite bound on the number of iterations exists." @default.
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• W2122062020 date "2013-01-01" @default.
• W2122062020 modified "2023-10-14" @default.
• W2122062020 title "On the Convergence of the Affine Hull of the Chvátal--Gomory Closures" @default.
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• W2122062020 doi "https://doi.org/10.1137/120898371" @default.
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