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Integer-empty polytopes in the 0/1-cube with maximal Gomory-Chvàtal rank

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Publication:408442
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DOI10.1016/j.orl.2011.09.004zbMath1235.90097OpenAlexW1975040408MaRDI QIDQ408442

Sebastian Pokutta, Andreas S. Schulz

Publication date: 5 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.orl.2011.09.004


zbMATH Keywords

integer programmingrankcutting planesGomory-Chvàtal closure


Mathematics Subject Classification ID

Integer programming (90C10)


Related Items

Design and Verify: A New Scheme for Generating Cutting-Planes ⋮ Design and verify: a new scheme for generating cutting-planes ⋮ On some polytopes contained in the 0,1 hypercube that have a small Chvátal rank



Cites Work

  • Lower bounds for the Chvàtal-Gomory rank in the 0/1 cube
  • On cutting-plane proofs in combinatorial optimization
  • Bounds on the Chvatal rank of polytopes in the 0/1-cube
  • On the Chvátal rank of polytopes in the 0/1 cube
  • Edmonds polytopes and a hierarchy of combinatorial problems
  • Outline of an algorithm for integer solutions to linear programs
  • On the Rank of Cutting-Plane Proof Systems
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