Hsien-Kuei Hwang
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Profiles of random trees: plane-oriented recursive trees
dmtcs:3361 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2005,
DMTCS Proceedings vol. AD, International Conference on Analysis of Algorithms
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https://doi.org/10.46298/dmtcs.3361
Profiles of random trees: plane-oriented recursive treesArticle
Authors: Hsien-Kuei Hwang 1
0000-0002-9410-6476
Hsien-Kuei Hwang
1 Institute of Statistical Science
We summarize several limit results for the profile of random plane-oriented recursive trees. These include the limit distribution of the normalized profile, asymptotic bimodality of the variance, asymptotic approximations of the expected width and the correlation coefficients of two level sizes. We also unveil an unexpected connection between the profile of plane-oriented recursive trees (with logarithmic height) and that of random binary trees (with height proportional to the square root of tree size).
Michael Drmota;Bernhard Gittenberger, 2010, The shape of unlabeled rooted random trees, arXiv (Cornell University), 31, 8, pp. 2028-2063, 10.1016/j.ejc.2010.05.011.
G. Park;H. -K Hwang;P. Nicodème;W. Szpankowski, Springer eBooks, Profile of Tries, pp. 1-11, 2008, 10.1007/978-3-540-78773-0_1.