On the number of hyperforests |
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Authors: | A V Kolchin |
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Institution: | (1) Steklov Mathematical Institute, Vavilova str. 42, 117966 Moscow, Russia |
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Abstract: | We consider m-forests with n labeled vertices and T edges. Asymptotic expressions for the number of such hyperforests are
obtained as m is fixed and n, T→∞ in such a manner that either 0 < α0 ≤T/n ≤ α1 < 1/(m(m-1)), where α0 and α1 are some constants, or T/n→1/(m(m−1)) sufficiently fast.
Proceedings of the XVI Seminar on Stability Problems for Stochastic Models, Part I, Eger, Hungary, 1994. |
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