Questions
9 of 26
What is a Balanced Tree? Why do we need balance?
Difficulty: 2/10
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).
javascript
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Balance controls tree height.
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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.
Follow-up Questions
- How does an AVL tree maintain balance?
- Why are Red-Black Trees less strictly balanced than AVL Trees?