| author: | Hsien-Kuei Hwang |
|---|---|
| title: | Profiles of random trees: plane-oriented recursive trees |
| keywords: | Plane-oriented recursive trees, profile of trees, limit distribution, convergence of all moments, total path length, random binary trees |
| abstract: | 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). |
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| reference: | Hsien-Kuei Hwang (2005), Profiles of random trees: plane-oriented recursive trees, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 193-200 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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