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A better upper bound on the number of triangulations of a planar point set

Francisco Santos·Raimund Seidel
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Abstract

We show that a point set of cardinality $n$ in the plane cannot be the vertex set of more than $59^n O(n^{-6})$ straight-edge triangulations of its convex hull. This improves the previous upper bound of $276.75^n$.

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Francisco Santos, Raimund Seidel. 2002-04-18. A better upper bound on the number of triangulations of a planar point set. https://doi.org/10.1016/s0097-3165(03)00002-5

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