IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-662-04166-6_23.html

Generalized Integer Partitions, Tilings of Zonotopes and Lattices

In: Formal Power Series and Algebraic Combinatorics

Author

Listed:
  • Matthieu Latapy

    (Université Paris 7, LIAFA)

Abstract

Using dynamical systems and order theory, we give results about two kinds of combinatorial objects: generalized integer partitions and tilings of zonotopes. We show that these objects naturally have the (distributive) lattice structure. We also discuss the special case of linear integer partitions, for which other dynamical systems exist. These results give a better understanding of the behaviour of tilings of zonotopes with flips and dynamical systems involving partitions. A longer version of this paper, with full proofs, discussion and an application, is available at http://www.liafa.jussieu.fr/~latapy.

Suggested Citation

  • Matthieu Latapy, 2000. "Generalized Integer Partitions, Tilings of Zonotopes and Lattices," Springer Books, in: Daniel Krob & Alexander A. Mikhalev & Alexander V. Mikhalev (ed.), Formal Power Series and Algebraic Combinatorics, pages 256-267, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-04166-6_23
    DOI: 10.1007/978-3-662-04166-6_23
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-662-04166-6_23. See general information about how to correct material in RePEc.

    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.

    We have no bibliographic references for this item. You can help adding them by using 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.