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A Connection between Cutting Plane Theory and the Geometry of Numbers

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journal contribution
posted on 01.06.2008, 00:00 by Gerard CornuejolsGerard Cornuejols, Yanjun Li
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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01/06/2008