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

Published 19 Sep 2011 in math.OC | (1109.4184v1)

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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