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An Upper Bound for the Number of Planar Lattice Triangulations

Emile E. Anclin
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Abstract

We prove an exponential upper bound for the number $f(m,n)$ of all maximal triangulations of the $m\times n$ grid: \[ f(m,n) < 2^{3mn}. \] In particular, this improves a result of S. Yu. Orevkov (1999).

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Emile E. Anclin. 2002-12-10. An Upper Bound for the Number of Planar Lattice Triangulations. https://arxiv.org/abs/math/0212140

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