Questions
23 of 26
Explain the concept of Tree Rotation.
Difficulty: 4/10
Tree Rotation
A tree rotation is a local restructuring operation that changes parent-child relationships while preserving the inorder ordering of a BST. Rotations are fundamental to self-balancing trees such as AVL and Red-Black Trees. The purpose is to reduce or redistribute tree height without changing the sorted sequence of keys.
javascript
- 1
Left and right rotations are the basic operations.
- 2
Rotations take O(1) time.
- 3
They preserve BST inorder ordering.
- 4
AVL Trees use rotations to restore balance.
- 5
Red-Black Trees use rotations together with recoloring.
Follow-up Questions
- Explain LL, RR, LR, and RL AVL cases.
- Why does rotation preserve inorder ordering?