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15

CAAP
1992

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Varieties of Increasing Trees

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Varieties of Increasing Trees

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We extend results about heights of random trees (Devroye, 1986, 1987, 1998b). In this paper, a general split tree model is considered in which the normalized subtree sizes of nodes converge in distribution. The height of these trees is shown to be in probability asymptotic to c log n for some constant c. We apply our results to obtain a law of large numbers for the height of all polynomial varieties of increasing trees (Bergeron et al., 1992). Keywords and phrases: Height, random tree, branching process, probabilistic analysis, increasing tree.

François Bergeron, Philippe Flajolet, Bruno

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CAAP 1992 | Normalized Subtree Sizes | Random Tree | Split Tree Model | Theoretical Computer Science |

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Added	09 Aug 2010
Updated	09 Aug 2010
Type	Conference
Year	1992
Where	CAAP
Authors	François Bergeron, Philippe Flajolet, Bruno Salvy

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