We denote by a triangulation a (simple) maximal planar graph. How many triangulations on $n$ vertices are there? How many triangulations are there if we cannot distinguish the vertices, i.e. isomorphic triangulations are seen as equal?

All results I can find are for plane graphs, i.e. concrete embeddings, and not abstract graphs.

  • 3
    $\begingroup$ I might be mistaken here but i thought maximal planar graphs have unique embeddings, so counting (non isomorphic) plane triangulations should be the same? $\endgroup$ – daniello Dec 1 '20 at 7:13
  • $\begingroup$ This question may be more suitable for math.stackexchange. $\endgroup$ – Kai Dec 4 '20 at 2:40

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