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The convex hull of the all-different system with the inclusion property: a simple proof

  • DI SUMMA, Marco

    ()

    (Dipartimento di Matematica, Università degli Studi di Padova, Italy)

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    An all-different constraint for a given family of discrete variables imposes the condition that no two variables in the family are allowed to take the same value. Magos et al. [Mathematical Programming, 132 (2012), pp. 209–260] gave a linear-inequality description of the convex hull of solutions to a system of all-different constraints, under a special assumption called inclusion property. The convex hull of solutions is in this case the intersection of the convex hulls of each of the all-different constraints of the system. We give a short and simple proof of this result, that in addition shows the total dual integrality of the linear system.

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    File URL: http://uclouvain.be/cps/ucl/doc/core/documents/coredp2013_69web.pdf
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    Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2013069.

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    Date of creation: 31 Dec 2013
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    Handle: RePEc:cor:louvco:2013069
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    1. Manuel Förster & Ana Mauleon & Vincent Vannetelbosch, 2013. "Trust and Manipulation in Social Networks," Documents de travail du Centre d'Economie de la Sorbonne 13065, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    2. Nguyen Thang Dao & Julio Dávila, 2013. "Can geography lock a society in stagnation?," Documents de travail du Centre d'Economie de la Sorbonne 13037, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    3. GABSZEWICZ, Jean & ZANAJ, Skerdilajda & ,, 2013. "(Un)stable vertical collusive agreements," CORE Discussion Papers 2013053, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Nigar Hashimzade & Jean Hindriks & Gareth D. Myles, 2006. "Solutions Manual to Accompany Intermediate Public Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582694, June.
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