Advanced Search
MyIDEAS: Login to save this paper or follow this series

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

Contents:

Author Info

  • DI SUMMA, Marco

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

Registered author(s):

    Abstract

    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.

    Download Info

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
    File URL: http://uclouvain.be/cps/ucl/doc/core/documents/coredp2013_69web.pdf
    Download Restriction: no

    Bibliographic Info

    Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2013069.

    as in new window
    Length:
    Date of creation: 31 Dec 2013
    Date of revision:
    Handle: RePEc:cor:louvco:2013069

    Contact details of provider:
    Postal: Voie du Roman Pays 34, 1348 Louvain-la-Neuve (Belgium)
    Phone: 32(10)474321
    Fax: +32 10474304
    Email:
    Web page: http://www.uclouvain.be/core
    More information through EDIRC

    Related research

    Keywords: all-different constraint; convex hull; integral polyhedron; total dual integrality;

    This paper has been announced in the following NEP Reports:

    References

    References listed on IDEAS
    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
    as in new window
    1. Nguyen Thang Dao & Julio Davila, 2013. "Can geography lock a society in stagnation?," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00824847, HAL.
    2. 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, December.
    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. Manuel Förster & Ana Mauleon & Vincent J. Vannetelbosch, 2014. "Trust and Manipulation in Social Networks," Working Papers 2014.50, Fondazione Eni Enrico Mattei.
    Full references (including those not matched with items on IDEAS)

    Citations

    Lists

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    Statistics

    Access and download statistics

    Corrections

    When requesting a correction, please mention this item's handle: RePEc:cor:louvco:2013069. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Alain GILLIS).

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.