Profiles of random trees: plane-oriented recursive trees
| Autor: | Hsien-Kuei Hwang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2005 |
| Předmět: |
random binary trees
total path length plane-oriented recursive trees profile of trees limit distribution convergence of all moments [info.info-ds] computer science [cs]/data structures and algorithms [cs.ds] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-cg] computer science [cs]/computational geometry [cs.cg] [info.info-hc] computer science [cs]/human-computer interaction [cs.hc] Mathematics QA1-939 |
| Zdroj: | Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AD,..., Iss Proceedings (2005) |
| Druh dokumentu: | article |
| ISSN: | 1365-8050 |
| DOI: | 10.46298/dmtcs.3361 |
| Popis: | 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). |
| Databáze: | Directory of Open Access Journals |
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