What is a Balanced Tree? Why do we need balance?

Difficulty: 5/10

AVL tree, Red-Black tree, Tree rotations

Balanced Trees

A balanced tree maintains its height close to logarithmic relative to the number of nodes. Balance is important because many tree operations depend on height. A balanced BST provides approximately O(log n) search, insertion, and deletion, whereas an unbalanced BST can degenerate into a linked list and make these operations O(n).

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1
Balance controls tree height.
2
Lower height improves lookup performance.
3
AVL and Red-Black Trees maintain balance automatically.
4
Perfect balance is not always required; bounded height is the key property.

Scenario Questions

0-2 years experience

Follow-up Questions