Distribution of Distances in Random Binary Search Trees
β Scribed by Hosam M. Mahmoud and Ralph Neininger
- Book ID
- 118203813
- Publisher
- Institute of Mathematical Statistics
- Year
- 2003
- Tongue
- English
- Weight
- 447 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1050-5164
- DOI
- 10.2307/1193143
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π SIMILAR VOLUMES
In a randomly grown binary search tree BST of size n, any fixed pattern occurs with a frequency that is on average proportional to n. Deviations from the average case are highly unlikely and well quantified by a Gaussian law. Trees with forbidden patterns occur with an exponentially small probabilit
We study the distribution Q on the set B, of binary search trees over a linearly ordered set of n records under the standard random permutation model. This distribution also arises as the stationary distribution for the move-to-root (MTR) Markov chain taking values in B,, when successive requests ar