A connection between cutting plane theory and the geometry of numbers

被引：7

作者：

Cornuéjols, G ^{[1
]}

Li, YJ ^{[1
]}

机构：

[1] Carnegie Mellon Univ, Grad Sch Ind Adm, Pittsburgh, PA 15213 USA

来源：

MATHEMATICAL PROGRAMMING | 2002年 / 93卷 / 01期

关键词：

closest vector problem; dominance problem; membership problem; validity problem; Chvatal cut; split cut; disjunctive cut; Gomory cut;

D O I：

10.1007/s10107-002-0302-5

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

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 Chvatal and split cuts.

引用

页码：123 / 127

页数：5

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