DMTCS Proceedings, 2005 International Conference on Analysis of Algorithms

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DMTCS Conference vol AD (2005), pp. 167-172

DMTCS

2005 International Conference on Analysis of Algorithms

Conrado Martínez (ed.)

DMTCS Conference Volume AD (2005), pp. 167-172


author: Bernhard Gittenberger
title: The profile of unlabeled trees
keywords: unlabeled trees, profile, Brownian excursion, local time
abstract: We consider the number of nodes in the levels of unlabeled rooted random trees and show that the joint distribution of several level sizes (where the level number is scaled by
n
) weakly converges to the distribution of the local time of a Brownian excursion evaluated at the times corresponding to the level numbers. This extends existing results for simply generated trees and forests to the case of unlabeled rooted trees.
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reference: Bernhard Gittenberger (2005), The profile of unlabeled trees, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 167-172
bibtex: For a corresponding BibTeX entry, please consider our BibTeX-file.
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