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Detecting induced subgraphs

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)

  • David Y. Lin

    (Princeton University)

  • 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

An s-graph is a graph with two kinds of edges : subdivisible edges and real edges. A realisation of an s-graphB is any graph obtained by subdividing subdivisible edges of B into paths of arbitrary length (at least one). Given an s-graph B, we study the decision problem Pi(B) whose instance is a graph G and whose question is "Does G contain a realisation of B as an induced subgraph ?".

Suggested Citation

  • Benjamin Lévêque & David Y. Lin & Frédéric Maffray & Nicolas Trotignon, 2007. "Detecting induced subgraphs," Post-Print halshs-00180953, HAL.
    • Handle: RePEc:hal:journl:halshs-00180953
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00180953
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    Citations

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    Cited by:

    1. 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.
    2. Nicolas Derhy & Christophe Picouleau & Nicolas Trotignon, 2008. "The four-in-a-tree problem in triangle-free graphs," Post-Print halshs-00270623, HAL.
    3. 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.

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