ON THE LIMIT BEHAVIOUR OF NUMBER OF TREES OF A GIVEN SIZE IN A RANDOM UNLABELLED UNROOTED FOREST
We consider the set F <sub>N,n</sub> of all random forests consisting of N ordered unrooted trees and n unlabelled vertices with uniform probability distribution on this set. We prove limit theorems for the number of trees of a given size as N, n → ∞ so that n/N > 2.