Geodesic
Probability that given vertices belong to the same connected component of random equiprobable mapping
Diskretnaya Matematika, Tome 34 (2022) no. 4, pp. 28-35

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The random equiprobable mappings of finite set $S$ into itself are considered. The probability that $k$ fixed elements of $S$ belong to the same connected component is studied. The limit of this probability as $|S|\to \infty$ is found.
Keywords: equiprobable random mappings of finite sets, random oriented graphs, connected components, limit theorems. 
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     author = {A. M. Zubkov and P. V. Khalipov},
     title = {Probability that given vertices belong to the same connected component of random equiprobable mapping},
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     url = {http://geodesic.mathdoc.fr/item/DM_2022_34_4_a2/}
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A. M. Zubkov; P. V. Khalipov. Probability that given vertices belong to the same connected component of random equiprobable mapping. Diskretnaya Matematika, Tome 34 (2022) no. 4, pp. 28-35. http://geodesic.mathdoc.fr/item/DM_2022_34_4_a2/