Patterns in random binary search trees
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Philippe Flajolet; Xavier Gourdon; Conrado MartΓnez
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Article
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1997
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John Wiley and Sons
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English
β 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