Advanced Search
MyIDEAS: Login

A simplicial algorithm for testing the integral properties of polytopes: A revision

Contents:

Author Info

  • Yang, Z.

    (Tilburg University, Center for Economic Research)

Registered author(s):

    Abstract

    Given an arbitrary polytope P in the n-dimensional Euclidean space R n , the question is to determine whether P contains an integral point or not. We propose a simplicial algorithm to answer this question based on a specifc integer labeling rule and a specific triangulation of R n . Starting from an arbitrary integral point ofR n , the algorithm terminates within a finite number of steps with either an integral point in P or proving there is no integral point inP. One prominent feature of the algorithm is that the structure of the algorithm is very simple and itcanbeeasily implemented on a computer. Moreover, the algorithm is computationally very simple, exible and stable.

    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://arno.uvt.nl/show.cgi?fid=3004
    Our checks indicate that this address may not be valid because: 404 Not Found. If this is indeed the case, please notify (Richard Broekman)
    Download Restriction: no

    Bibliographic Info

    Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1994-89.

    as in new window
    Length:
    Date of creation: 1994
    Date of revision:
    Handle: RePEc:dgr:kubcen:199489

    Contact details of provider:
    Web page: http://center.uvt.nl

    Related research

    Keywords: Linear Programming; operations research;

    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. Monhein, P., 1976. "Integer Programming and related areas -- a classified bibliography : Ed. by C. Kastning, Lecture Notes in Economics and Mathematical Systems, Operations Research No. 128, Springer-Verlag, Berlin-Heide," Engineering and Process Economics, Elsevier, vol. 1(4), pages 340-341, December.
    2. Talman, A.J.J. & Laan, G. van der, 1979. "A restart algorithm for computing fixed points without an extra dimension," Open Access publications from Tilburg University urn:nbn:nl:ui:12-153012, Tilburg University.
    3. Scarf, Herbert E, 1981. "Production Sets with Indivisibilities-Part II: The Case of Two Activities," Econometrica, Econometric Society, vol. 49(2), pages 395-423, March.
    4. Scarf, Herbert E, 1981. "Production Sets with Indivisibilities-Part I: Generalities," Econometrica, Econometric Society, vol. 49(1), pages 1-32, January.
    5. Talman, A.J.J. & Laan , G. van der, 1981. "A class of simplicial subdivisions for restart fixed point algorithms," Open Access publications from Tilburg University urn:nbn:nl:ui:12-153024, Tilburg University.
    6. Talman, A.J.J. & Laan, G. van der & Van der Heyden, L., 1987. "Variable dimension algorithms for solving the nonlinear complementarity problem on a product of unit simplices using general labelling," Open Access publications from Tilburg University urn:nbn:nl:ui:12-153106, Tilburg University.
    7. Yang, Z., 1994. "A simplicial algorithm for testing the integral property of a polytope," Discussion Paper 1994-75, Tilburg University, Center for Economic Research.
    8. Yang, Z., 1994. "A Simplicial Algorithm for Testing the Integral Property of a Polytope," Papers 9475, Tilburg - Center for Economic Research.
    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:dgr:kubcen:199489. 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: (Richard Broekman).

    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.