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Detecting induced subgraphs

Author

Listed:
  • Benjamin Lévèque

    (G-SCOP)

  • David Y. Lin

    (Princeton University)

  • Fr d ric Maffray

    (G-SCOP)

  • Nicolas Trotignon

    (Centre d'Economie de la Sorbonne)

Abstract

An s-graph is a graph with two kinds of edges: subdivisible edges and real edges. A realisation of an s-graph B is any graph obtained by 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 Lévèque & David Y. Lin & Fr d ric 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.
  • Handle: RePEc:mse:cesdoc:b07049
    DOI: 10.1016/j.dam.2009.02.015
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    File URL: https://shs.hal.science/halshs-00180953
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    File URL: https://doi.org/10.1016/j.dam.2009.02.015
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    Citations

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    Cited by:

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

    More about this item

    Keywords

    Detection; induced; subgraph;
    All these keywords.

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