Here, we derive the exact mean and variance of number weakly protected nodes (the that are not leaves at least one their children is a leaf) in binary search trees grown from random permutations. Furthermore, by using contraction method, prove normal limit law for properly normalized version this tree parameter.

The development of technology and information from day to is always experiencing significant developments, with the aimed at facilitating human activities in life. In this case design application Binary Search Algorithm for processing Pharmacy Isna Farma data made. program aims facilitate drug pharmacies, so that available supply can be controlled by owner. search using keyword words or code. p...

Abstract The feature selection (FS) process has an essential effect in solving many problems such as prediction, regression, and classification to get the optimal solution. For problems, selecting most relevant features of a dataset leads better accuracy with low training time. In this work, hybrid binary crow search algorithm (BCSA) based quasi-oppositional (QO) method is proposed FS on wrappe...

Efficient implementations of sets and maps (dictionaries) are important in computer science, and balanced binary search trees are the basis of the best practical implementations. Pedagogically, however, they are often quite complicated, especially with respect to deletion. I present complete code (with justification and analysis not previously available in the literature) for a purely-functiona...

This survey studies asymptotics of random fringe trees and extended fringe trees in random trees that can be constructed as family trees of a Crump–Mode–Jagers branching process, stopped at a suitable time. This includes random recursive trees, preferential attachment trees, fragmentation trees, binary search trees and (more generally) m-ary search trees, as well as some other classes of random...

We revisit the classical algorithms for searching over sorted sets to introduce an algorithm refinement, called Adaptive Search, that combines the good features of Interpolation search and those of Binary search. W.r.t. Interpolation search, only a constant number of extra comparisons is introduced. Yet, under diverse input data distributions our algorithm shows costs comparable to that of Inte...

We present a novel connection between binary search trees (BSTs) and points in the plane satisfying a simple property. Using this correspondence, we achieve the following results: 1. A surprisingly clean restatement in geometric terms of many results and conjectures relating to BSTs and dynamic optimality. 2. A new lower bound for searching in the BST model, which subsumes the previous two know...