What is the time complexity of binary search trees?

What is the time complexity of binary search trees?

The average time complexity for search, insert, and delete operations in a binary search tree is O(log n). However, in the worst case, it can degrade to O(n) if the tree becomes unbalanced.

What can I do to keep a binary search tree balanced?

To keep a binary search tree balanced, you can use self-balancing trees like AVL trees or Red-Black trees, which automatically maintain balance after insertions and deletions.

How does the height of the tree affect its performance?

The height of the tree directly affects performance; a shorter height leads to faster operations, while a taller tree increases the time complexity to O(n) in the worst case.

Can you explain the difference between AVL trees and Red-Black trees?

Sure! AVL trees maintain a stricter balance than Red-Black trees, which allows for faster lookups but may require more rotations during insertions and deletions.