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• W2021738579 abstract "Simple families of increasing trees were introduced by Bergeron, Flajolet and Salvy. They include random binary search trees, random recursive trees and random plane-oriented recursive trees (PORTs) as important special cases. In this paper, we investigate the number of subtrees of size k on the fringe of some classes of increasing trees, namely generalized PORTs and d -ary increasing trees. We use a complex-analytic method to derive precise expansions of mean value and variance as well as a central limit theorem for fixed k . Moreover, we propose an elementary approach to derive limit laws when k is growing with n . Our results have consequences for the occurrence of pattern sizes on the fringe of increasing trees." @default.
• W2021738579 created "2016-06-24" @default.
• W2021738579 creator A5000390095 @default.
• W2021738579 date "2012-01-25" @default.
• W2021738579 modified "2023-09-26" @default.
• W2021738579 title "Limit Theorems for Subtree Size Profiles of Increasing Trees" @default.
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• W2021738579 doi "https://doi.org/10.1017/s096354831100071x" @default.
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