We employ a P6lya urn to model rotations in a random fringe-balanced binary search tree. We show that asymptotically the number of rotations to construct a tree of size n has a normal distribution with mean +n and variance sn. Exact results for mean and variance are developed in the process. @ 1998
Onk-Dimensional Balanced Binary Trees
β Scribed by Vijay K. Vaishnavi
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 510 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0022-0000
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
It is well known that every tournament contains a Hamiltonian path, which can be restated as that every tournament contains a unary spanning tree. The purpose of this article is to study the general problem of whether a tournament contains a k-ary spanning tree. In particular, we prove that, for any
We show that, in order to achieve efficient maintenance of a balanced binary search tree, no shape restriction other than a logarithmic height is required. The obtained class of trees, general balanced trees, may be maintained at a logarithmic amortized cost with no balance information stored in the
In the next section we present basic definitions and notations where the criterion of optimality is defined and related to the concept of ''normal'' algorithms. In Section 3 we present an optimal embedding method that balances the processor loads. In Section 4 we present a nonoptimal embedding metho