IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0356507.html

On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation

Author

Listed:
  • Luis Ángel Calvo Pascual
  • Susana Merchán Rubira
  • Dulcinea Raboso Paniagua
  • Javier Rodrigo Hitos
  • José Samuel Rodríguez García

Abstract

Motivated by an open problem in the literature stated by Mirzakhani and Vondrák, we give a lower bound of the number of non-monochromatic simplices for Sperner labelings of the vertices of a triangulation of a given k-simplex with vertices of integer coordinates. This triangulation maximizes the number of simplices over all the triangulations of the k-simplex with vertices of integer coordinates.

Suggested Citation

  • Luis Ángel Calvo Pascual & Susana Merchán Rubira & Dulcinea Raboso Paniagua & Javier Rodrigo Hitos & José Samuel Rodríguez García, 2026. "On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation," PLOS ONE, Public Library of Science, vol. 21(8), pages 1-15, August.
    • Handle: RePEc:plo:pone00:0356507
    DOI: 10.1371/journal.pone.0356507
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0356507
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0356507&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0356507?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    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:plo:pone00:0356507. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.