Counting Realizations of Laman Graphs on the Sphere

  • Matteo Gallet
  • Georg Grasegger
  • Josef Schicho


We present an algorithm that computes the number of realizations of a Laman graph on a sphere for a general choice of the angles between the vertices. The algorithm is based on the interpretation of such a realization as a point in the moduli space of stable curves of genus zero with marked points, and on the explicit description, due to Keel, of the Chow ring of this space.

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