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The height of increasing trees

By N. Broutin, L. Devroye, E. Mcleish and M. Salle


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 obtain a law of large numbers for the height of all polynomial varieties of increasing trees (Bergeron et al., 1992)

Topics: Height, random tree, branching process, probabilistic analysis
Year: 2006
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