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Asymptotic enumeration and limit laws of planar graphs

Omer Gimenez·Marc Noy
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Abstract

We show an asymptotic estimate for the number of labelled planar graphs on $n$ vertices. We also find limit laws for the number of edges, the number of connected components, and other parameters in random planar graphs.

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Omer Gimenez, Marc Noy. 2005-07-14. Asymptotic enumeration and limit laws of planar graphs. https://arxiv.org/abs/math/0501269

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