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arXiv · 1902.09841

A new lower bound on the maximum number of plane graphs using production matrices

Clemens Huemer·Alexander Pilz·Rodrigo I. Silveira
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Abstract

We use the concept of production matrices to show that there exist sets of $n$ points in the plane that admit $\Omega(42.11^n)$ crossing-free geometric graphs. This improves the previously best known bound of $\Omega(41.18^n)$ by Aichholzer et al. (2007).

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Clemens Huemer, Alexander Pilz, Rodrigo I. Silveira. 2019-02-26. A new lower bound on the maximum number of plane graphs using production matrices. https://arxiv.org/abs/1902.09841

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