AVL Trees and Height-Balanced Structures
Students will learn about loops (e.g., 'repeat' or 'for' loops) to perform actions multiple times, making programs more efficient.
Key Questions
- Prove that maintaining the AVL balance invariant guarantees O(log n) worst-case height, and explain why an unbalanced BST can degrade to O(n).
- Trace the sequence of single and double rotations required to restore the AVL invariant after a sequence of insertions, showing the balance factors at each affected node.
- Compare AVL trees and Red-Black trees in terms of rotation frequency, worst-case height bounds, and the practical contexts in which each is preferred in systems software.
MOE Syllabus Outcomes
Suggested Methodologies
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