# Time Complexity of Binary Search Tree

## 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-

1. Search Operation
2. Insertion Operation
3. Deletion Operation

## 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
Publisher Name
Gate Vidyalay
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