Wiener indices of balanced binary trees
โ Scribed by Sergey Bereg; Hao Wang
- Book ID
- 108112623
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 252 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
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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
## Abstract The Wiener index of a connected graph is defined as the sum of distances between all unordered pairs of its vertices. It has found various applications in chemical research. We determine the minimum and the maximum Wiener indices of trees with given bipartition and the minimum Wiener in