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A counterexample to a conjecture of Gomory and Johnson

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Abstract

In Mathematical Programming 2003, Gomory and Johnson conjecture that the facets of the infinite group problem are always generated by piecewise linear functions. In this paper we give an example showing that the Gomory-Johnson conjecture is false.

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Correspondence to Amitabh Basu.

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A. Basu was supported by a Mellon Fellowship. M. Conforti was supported by the Progetto di Eccellenza 2008-2009 of the Fondazione Cassa di Risparmio di Padova e Rovigo. G. Cornuéjols was supported by NSF grant CMMI0653419, ONR grant N00014-09-1-0033 and ANR grant ANR06-BLAN-0375. G. Zambelli was supported by the Progetto di Eccellenza 2008–2009 of the Fondazione Cassa di Risparmio di Padova e Rovigo.

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Basu, A., Conforti, M., Cornuéjols, G. et al. A counterexample to a conjecture of Gomory and Johnson. Math. Program. 133, 25–38 (2012). https://doi.org/10.1007/s10107-010-0407-1

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  • DOI: https://doi.org/10.1007/s10107-010-0407-1

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