Weakly protected nodes in random binary search trees

Autor: Ezzat Mohammad Nezhad, Mehri Javanian, Ramin Imany Nabiyyi
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