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arXiv · 1109.4184

A (k+1)-Slope Theorem for the k-Dimensional Infinite Group Relaxation

Amitabh Basu·Robert Hildebrand·Matthias Köppe·Marco Molinaro
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Abstract

We prove that any minimal valid function for the k-dimensional infinite group relaxation that is piecewise linear with at most k+1 slopes and does not factor through a linear map with non-trivial kernel is extreme. This generalizes a theorem of Gomory and Johnson for k=1, and Cornuejols and Molinaro for k=2.

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Amitabh Basu, Robert Hildebrand, Matthias Köppe, Marco Molinaro. 2011-09-19. A (k+1)-Slope Theorem for the k-Dimensional Infinite Group Relaxation. https://arxiv.org/abs/1109.4184

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