On the Variance of the Height of Random Binary Search Trees
โ Scribed by Devroye, Luc; Reed, Bruce
- Book ID
- 118178116
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1995
- Tongue
- English
- Weight
- 522 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0097-5397
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Denote by \(S_{n}\) the set of all distinct rooted binary trees with \(n\) unlabeled vertices. Define \(\sigma_{n}\) as a total height of a tree chosen at random in the set \(S_{n}\), assuming that all the possible choices are equally probable. The total height of a tree is defined as the sum of the
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