Approximation of Minimal Functions by Extreme Functions

Teresa M. Lebair; Amitabh Basu

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arXiv · 1708.04344

Approximation of Minimal Functions by Extreme Functions

Teresa M. Lebair·Amitabh Basu

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Abstract

In a recent paper, Basu, Hildebrand, and Molinaro established that the set of continuous minimal functions for the 1-dimensional Gomory-Johnson infinite group relaxation possesses a dense subset of extreme functions. The $n$-dimensional version of this result was left as an open question. In the present paper, we settle this query in the affirmative: for any integer $n \geq 1$, every continuous minimal function can be arbitrarily well approximated by an extreme function in the $n$-dimensional Gomory-Johnson model.

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BibTeX RIS

Teresa M. Lebair, Amitabh Basu. 2017-08-14. Approximation of Minimal Functions by Extreme Functions. https://arxiv.org/abs/1708.04344

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