Binary Search Trees Deletion Examples | Deleting a node from BST | Data Structure

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Binary Search Tree: The value of the key of the left sub-tree is less than the value of its parent (root) node's key. The value of the key of the right sub-tree is greater than or equal to the value of its parent (root) node's key.

Advantages of using binary search tree
Searching become very efficient in a binary search tree since, we get a hint at each step, about which sub-tree contains the desired element.
The binary search tree is considered as efficient data structure in compare to arrays and linked lists. In searching process, it removes half sub-tree at every step. Searching for an element in a binary search tree takes o(log2n) time. In worst case, the time it takes to search an element is 0(n).
It also speed up the insertion and deletion operations as compare to that in array and linked list.

Operations on Binary Search Tree
Searching in BST:- Finding the location of some specific element in a binary search tree.
Insertion in BST:- Adding a new element to the binary search tree at the appropriate location so that the property of BST do not violate.
Deletion in BST:- Deleting some specific node from a binary search tree. However, there can be various cases in deletion depending upon the number of children, the node have.

Algorithm for searching in BST:
If root == NULL
return NULL;
If number == root-data
return root-data;
If number less than root-data
return search(root-left)
If number greater than root-data
return search(root-right)

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