A connection between cutting plane theory and the geometry of numbers
- Cite this article as:
- Cornuéjols, G. & Li, Y. Math. Program. (2002) 93: 123. doi:10.1007/s10107-002-0302-5
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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.