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Phase Changes in Subtree Varieties in Random Recursive and Binary Search Trees

✍ Scribed by Feng, Qunqiang; Mahmoud, Hosam M.; Panholzer, Alois


Book ID
118197610
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
273 KB
Volume
22
Category
Article
ISSN
0895-4801

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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