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Discrete Mathematics & Theoretical Computer 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).
Source : ScholeXplorer
IsRelatedTo ARXIV 0910.3639 Source : ScholeXplorer IsRelatedTo DOI 10.1137/1.9781611973006.13 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.0910.3639
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