A connection between cutting plane theory and the geometry of numbers

A connection between cutting plane theory and the geometry of numbers

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Article ID: iaor20032493
Country: Germany
Volume: 93
Issue: 1
Start Page Number: 123
End Page Number: 127
Publication Date: Jan 2002
Journal: Mathematical Programming
Authors: ,
Keywords: programming: integer
Abstract:

In this paper, we relate several questions about cutting planes to a fundamental problem in the geometry of numbers, namely, the closest vector problem. Using this connection we show that the dominance, membership and validity problems are NP-complete for Chvátal and split cuts.

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