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Totally tight Chvatal-Gomory cuts

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Publication:1612006
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DOI10.1016/S0167-6377(02)00111-6zbMath1027.90061WikidataQ57702369 ScholiaQ57702369MaRDI QIDQ1612006

Adam N. Letchford

Publication date: 28 August 2002

Published in: Operations Research Letters (Search for Journal in Brave)


zbMATH Keywords

integer programmingpolynomial-time algorithmcutting planesseparationHermite normal formChvátal-Gomory cut


Mathematics Subject Classification ID

Integer programming (90C10)


Related Items

Metric inequalities and the network loading problem ⋮ Chvatal--Gomory--tier cuts for general integer programs



Cites Work

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  • An application of the Hermite normal form in integer programming
  • On the membership problem for the elementary closure of a polyhedron
  • Geometric algorithms and combinatorial optimization
  • \(\{ 0,\frac12\}\)-Chvátal-Gomory cuts
  • On the separation of maximally violated mod-\(k\) cuts
  • Edmonds polytopes and a hierarchy of combinatorial problems
  • Maximizing Submodular Set Functions: Formulations and Analysis of Algorithms
  • Extended GCD and Hermite Normal Form Algorithms via Lattice Basis Reduction
  • Combining and strengthening Gomory cuts
  • ON THE RELATION BETWEEN INTEGER AND NONINTEGER SOLUTIONS TO LINEAR PROGRAMS
  • Systems of distinct representatives and linear algebra
  • Cutting Planes and the Elementary Closure in Fixed Dimension
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