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Left and Right Pathlengths in Random Binary Trees

✍ Scribed by Svante Janson


Book ID
106148659
Publisher
Springer
Year
2006
Tongue
English
Weight
197 KB
Volume
46
Category
Article
ISSN
0178-4617

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Patterns in random binary search trees
✍ Philippe Flajolet; Xavier Gourdon; Conrado MartΓ­nez πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 243 KB

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