IDEAS home Printed from https://ideas.repec.org/p/hal/journl/halshs-00180961.html
   My bibliography  Save this paper

On graphs that do not contain a subdivision of the complete graph on four vertices as an induced subgraph

Author

Listed:
  • Benjamin Lévêque

    (G-SCOP_OC - Optimisation Combinatoire - G-SCOP - Laboratoire des sciences pour la conception, l'optimisation et la production - UJF - Université Joseph Fourier - Grenoble 1 - Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology - INPG - Institut National Polytechnique de Grenoble - CNRS - Centre National de la Recherche Scientifique)

  • Frédéric Maffray

    (G-SCOP_OC - Optimisation Combinatoire - G-SCOP - Laboratoire des sciences pour la conception, l'optimisation et la production - UJF - Université Joseph Fourier - Grenoble 1 - Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology - INPG - Institut National Polytechnique de Grenoble - CNRS - Centre National de la Recherche Scientifique)

  • Nicolas Trotignon

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

We prove a decomposition theorem for graphs that do not contain a subdivision of the complete graph on four vertices as an induced subgraph.

Suggested Citation

  • Benjamin Lévêque & Frédéric Maffray & Nicolas Trotignon, 2007. "On graphs that do not contain a subdivision of the complete graph on four vertices as an induced subgraph," Post-Print halshs-00180961, HAL.
    • Handle: RePEc:hal:journl:halshs-00180961
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00180961
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-00180961/document
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Benjamin Lévêque & David Y. Lin & Frédéric Maffray & Nicolas Trotignon, 2007. "Detecting induced subgraphs," Documents de travail du Centre d'Economie de la Sorbonne b07049, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    2. Benjamin Lévêque & David Y. Lin & Frédéric Maffray & Nicolas Trotignon, 2007. "Detecting induced subgraphs," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00180953, HAL.
    3. Benjamin Lévêque & David Y. Lin & Frédéric Maffray & Nicolas Trotignon, 2007. "Detecting induced subgraphs," Post-Print halshs-00180953, HAL.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nicolas Trotignon & Kristina Vuskovic, 2008. "A structure theorem for graphs with no cycle with a unique chord and its consequences," Post-Print halshs-00265957, HAL.
    2. Nicolas Derhy & Christophe Picouleau & Nicolas Trotignon, 2008. "The four-in-a-tree problem in triangle-free graphs," Post-Print halshs-00270623, HAL.

    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:hal:journl:halshs-00180961. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc 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 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.