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Detecting induced subgraphs

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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?"

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  • 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.
    • Handle: RePEc:mse:cesdoc:b07049
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    File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2007/B07049.pdf
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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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    Keywords

    Detection; induced; subgraph;
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