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Limiting Distributions for the Number of Inversions in Labelled Tree Families

✍ Scribed by Alois Panholzer, Georg Seitz

Book ID
120770375
Publisher
Springer
Year
2012
Tongue
English
Weight
403 KB
Volume
16
Category
Article
ISSN
0218-0006

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πŸ“œ SIMILAR VOLUMES

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A formula for the number of labelled trees
✍ Vites Longani πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 347 KB

Let L(n, r) be the number of labelled trees with n points and r end-points. In this paper it is shown that the number L(n, r) can be obtained from the formula

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We investigate from probabilistic point of view the asymptotic behavior of the number of distinct component sizes in general classes of combinatorial structures of size n as n Γ„ . Mild restrictions of admissibility type are imposed on the corresponding generating functions and asymptotic expressions