Day 36: AVL Trees - Rotations and Balancing

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

• Explain why BST insertions and deletions can violate the height-balance property
• Identify the four imbalance cases (left-left, right-right, left-right, right-left)
• Perform single right rotation to fix left-left imbalance
• Perform single left rotation to fix right-right imbalance
• Perform double rotation (left-right) to fix left-right imbalance
• Perform double rotation (right-left) to fix right-left imbalance
• Verify that rotations preserve the Binary Search Tree property
• Determine which rotation type to apply based on balance factors
• Trace rotation operations through complete examples
• Recognize that rotations are local operations affecting only a few nodes