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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," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00180961, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00180961
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00180961
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