Balanced Trees: AVL and Red-Black Trees for Exam Prep

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Balanced Trees: AVL and Red-Black Trees - Complexity Analysis - Higher Difficulty Problems

Q. How does the time complexity of searching in a Red-Black Tree compare to that of an AVL Tree?

Solution

Both Red-Black Trees and AVL Trees have a search time complexity of O(log n).

Correct Answer: C — Both have the same complexity

Q. Which of the following is a property of Red-Black Trees?

Solution

All of the listed properties are true for Red-Black Trees, ensuring balanced structure.

Correct Answer: D — All of the above.

Q. Which operation is more complex in an AVL tree compared to a Red-Black tree?

Solution

Deletion in an AVL tree is more complex due to the need for multiple rotations to maintain balance.

Correct Answer: B — Deletion

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