The binary and binary search trees

A node in a binary tree has two children at most: one left child and one right child. This definition allows us to write more efficient algorithms to insert, search, and delete nodes to/from a tree. Binary trees are largely used in computer science.

A binary search tree is a binary tree, but it only allows you to store nodes with lesser values on the left-hand side and nodes with greater values on the right-hand side. The diagram in the previous topic exemplifies a binary search tree.

This will be the data structure that we will work on in this chapter.

Creating the BinarySearchTree class

Let's start by creating our BinarySearchTree class. First, let's declare its skeleton via the following code:

function BinarySearchTree() { 
 
  var Node = function(key){ //{1} 
    this.key = key; 
    this.left = null; 
    this.right = null; 
  }; 
 
  var root = null; //{2} 
} 

The following diagram exemplifies how a Binary...