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    • Finding an induced path that is not a shortest path 

      Berger, Eli; Seymour, Paul; Spirkl, Sophie (Elsevier, 2021-07)
      We give a polynomial-time algorithm that, with input a graph G and two vertices u; v of G, decides whether there is an induced uv-path that is longer than the shortest uv-path.
    • Triangle-free graphs with no six-vertex induced path 

      Chudnovsky, Maria; Seymour, Paul; Spirkl, Sophie; Zhong, Mingxian (Elsevier, 2018-08)
      The graphs with no five-vertex induced path are still not understood. But in the triangle-free case, we can do this and one better; we give an explicit construction for all triangle-free graphs with no six-vertex induced ...

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