**Binary Search Tree-**

Before you go through this article, make sure that you have gone through the previous article on **BST Operations**.

Commonly performed operations on binary search tree are-

- Search Operation
- Insertion Operation
- Deletion Operation

In this article, we will discuss time complexity of BST Operations.

**Time Complexity-**

- Time complexity of all BST Operations = O(h).
- Here, h = Height of binary search tree

Now, let us discuss the worst case and best case.

**Worst Case-**

In worst case,

- The binary search tree is a skewed binary search tree.
- Height of the binary search tree becomes n.
- So, Time complexity of BST Operations = O(n).

In this case, binary search tree is as good as unordered list with no benefits.

**Best Case-**

In best case,

- The binary search tree is a balanced binary search tree.
- Height of the binary search tree becomes log(n).
- So, Time complexity of BST Operations = O(logn).

To gain better understanding about Time Complexity of BST Operations,

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Summary

Article Name

Time Complexity of Binary Search Tree

Description

Time complexity of binary search tree- Time complexity of BST operations is O(h) where h is the height of binary search tree. Binary search tree is a special kind of binary tree.

Author

Akshay Singhal

Publisher Name

Gate Vidyalay

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