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A connection between cutting plane theory and the geometry of numbers

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Publication:1849263
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DOI10.1007/s10107-002-0302-5zbMath1007.90040OpenAlexW2091973203MaRDI QIDQ1849263

Yanjun Li, Cornuéjols, Gérard

Publication date: 1 December 2002

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://figshare.com/articles/journal_contribution/A_Connection_between_Cutting_Plane_Theory_and_the_Geometry_of_Numbers/6702863

zbMATH Keywords

membership problemdisjunctive cutsplit cutclosest vector problemvalidity problemGomory cutdominance problemChvátal cut


Mathematics Subject Classification ID

Integer programming (90C10) Geometry of numbers (11H99)


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On the membership problem for the \({0, 1/2}\)-closure, Cook, Kannan and Schrijver's example revisited, Projected Chvátal-Gomory cuts for mixed integer linear programs, Valid inequalities for mixed integer linear programs, Approximate fixed-rank closures of covering problems



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