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The height of increasing trees

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

Abstract

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
OAI identifier: oai:CiteSeerX.psu:10.1.1.135.5878
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