Day 37: AVL Trees - Insert and Delete Operations

After reading this chapter and engaging in the embedded activities and reflections, you should be able to:

• Implement AVL tree insertion with automatic rebalancing
• Update node heights during insertion and deletion operations
• Detect balance factor violations along modification paths
• Apply appropriate rotations to restore balance after insertions
• Implement AVL tree deletion with multiple rebalancing steps
• Trace complete insertion and deletion sequences in AVL trees
• Explain why insertion requires at most one rebalance (single or double rotation) while deletion may require multiple
• Analyze the guaranteed O(log n) performance of AVL tree operations
• Compare AVL tree performance to unbalanced BST performance