Geodesic
On the maximum size of a~tree in a~random unlabelled unrooted forest
Diskretnaya Matematika, Tome 23 (2011) no. 1, pp. 3-20

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For a random unlabelled unrooted forest consisting of $N$ trees and $n$ vertices we obtain limit distributions of the maximum tree size in all domains where $N$ and $n$ tend to infinity. We formulate conditions for emergence of a giant tree in the random forest. 
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     author = {E. S. Bernikovich and Yu. L. Pavlov},
     title = {On the maximum size of a~tree in a~random unlabelled unrooted forest},
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E. S. Bernikovich; Yu. L. Pavlov. On the maximum size of a~tree in a~random unlabelled unrooted forest. Diskretnaya Matematika, Tome 23 (2011) no. 1, pp. 3-20. http://geodesic.mathdoc.fr/item/DM_2011_23_1_a0/