Integer-empty polytopes in the 0/1-cube with maximal Gomory–Chvátal rank
Author(s)
Pokutta, Sebastian
Schulz, Andreas S
Date Issued
September 2011
Journal
Operations Research Letters
Publisher
Elsevier
Citation
Pokutta, Sebastian and Schulz, Andreas S. “Integer-Empty Polytopes in the 0/1-Cube with Maximal Gomory–Chvátal Rank.” Operations Research Letters 39, no. 6 (November 2011): 457–460. © 2011 Elsevier B.V.
Version
Author's final manuscript
Abstract
We provide a complete characterization of all polytopes P⊆[0,1]nP⊆[0,1][superscript n] with empty integer hulls, whose Gomory–Chvátal rank is n (and, therefore, maximal). In particular, we show that the first Gomory–Chvátal closure of all these polytopes is identical.
MIT Department
Sloan School of Management
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/j.orl.2011.09.004
