Weakly protected nodes in random binary search trees
Autor: | Ezzat Mohammad Nezhad, Mehri Javanian, Ramin Imany Nabiyyi |
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Rok vydání: | 2022 |
Předmět: | |
Zdroj: | RAIRO - Theoretical Informatics and Applications. 56:2 |
ISSN: | 2804-7346 0988-3754 |
Popis: | Here, we derive the exact mean and variance of the number of weakly protected nodes (the nodes that are not leaves and at least one of their children is not a leaf) in binary search trees grown from random permutations. Furthermore, by using contraction method, we prove normal limit law for a properly normalized version of this tree parameter. |
Databáze: | OpenAIRE |
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