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The number of trees with large diameter

Published online by Cambridge University Press:  09 April 2009

Tomasz Łuczak
Affiliation:
Department of Discrete Mathematics, Adam Mickiewicz University, Poznań, Poland
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Abstract

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In the paper we study the asymptotic behaviour of the number of trees with n vertices and diameter k = k(n), where k/√n → ∞ as n → ∞ but k = o(n).

MSC classification

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1995

References

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[3]Szekeres, G., ‘Distribution of labelled trees by diameter’, in: Combinatorial Mathematics X, Proc. Conf Adelaide, Australia 1982, Lecture Notes in Math. 1036 (Springer, Berlin, 1983) pp. 392397.Google Scholar