Geodesic
The number of planar graphs and properties of random planar graphs
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AD, International Conference on Analysis of Algorithms, DMTCS Proceedings vol. AD, International Conference on Analysis of Algorithms (2005).

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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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     author = {Gimenez, Omer and Noy, Marc},
     title = {The number of planar graphs and properties of random planar graphs},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AD, International Conference on Analysis of Algorithms},
     year = {2005},
     doi = {10.46298/dmtcs.3354},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3354/}
}
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Gimenez, Omer; Noy, Marc. The number of planar graphs and properties of random planar graphs. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AD, International Conference on Analysis of Algorithms, DMTCS Proceedings vol. AD, International Conference on Analysis of Algorithms (2005). doi : 10.46298/dmtcs.3354. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3354/

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