Geodesic
An asymptotic formula for the number of asymmetric graphs
Diskretnaya Matematika, Tome 4 (1992) no. 3, pp. 101-107.

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A general formula giving an asymptotic expansion for the number $N(n)$ of identity graphs with $n$ vertices, as $n\to\infty$, is obtained. Two terms of this asymptotic expansion are given in an explicit form. The obtained formula estimates the rate of convergence in the Pólya effect [F. Harary and E. M. Palmer, Graphical enumeration (1973; Zbl 0266.05108)] that almost all undirected graphs have the trivial automorphism group as $n\to\infty$. 
@article{DM_1992_4_3_a7,
     author = {A. S. Ambrosimov},
     title = {An asymptotic formula for the number of asymmetric graphs},
     journal = {Diskretnaya Matematika},
     pages = {101--107},
     publisher = {mathdoc},
     volume = {4},
     number = {3},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1992_4_3_a7/}
}
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A. S. Ambrosimov. An asymptotic formula for the number of asymmetric graphs. Diskretnaya Matematika, Tome 4 (1992) no. 3, pp. 101-107. http://geodesic.mathdoc.fr/item/DM_1992_4_3_a7/