𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the richness of the collection of subtrees in random binary search trees

✍ Scribed by Luc Devroye


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
318 KB
Volume
65
Category
Article
ISSN
0020-0190

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the distribution of binary search tre
✍ James Allen Fill πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 865 KB

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

On the log-product of the subtree-sizes
✍ A. Meir; J. W. Moon πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 190 KB πŸ‘ 2 views

We determine the asymptotic behavior of the expected value and the variance of the log-product of the subtree-sizes of trees T belonging to simply generated families of n

Addendum to β€œOn the log-product of the s
✍ A. Meir; J. W. Moon πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 71 KB πŸ‘ 2 views

The asymptotic behavior of the mean and the variance of the log-product of the subtree-sizes of trees belonging to simply generated families of rooted trees were determined in this paper. The authors have learned that Professor Boris Pittel, in a manuscript entitled ''Normal Convergence Problem? Two

On the Total Heights of Random Rooted Bi
✍ L. Takacs πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 306 KB

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