Balanced Trees: AVL and Red-Black Trees for Competitive Exams

Balanced Trees: AVL and Red-Black Trees - Competitive Exam Level

Q. How does the height of an AVL tree compare to that of a Red-Black tree?

Solution

AVL trees are more strictly balanced, which can lead to a shorter height compared to Red-Black trees in the worst case.

Correct Answer: D — AVL trees are shorter in the worst case.

Q. In a Red-Black tree, what is the maximum number of black nodes on any path from the root to a leaf?

Solution

In a Red-Black tree, the number of black nodes can vary, but every path from the root to the leaves must have the same number of black nodes.

Correct Answer: D — It can vary.

Q. What is the primary advantage of using a Red-Black tree over an AVL tree?

Solution

Red-Black trees generally require fewer rotations during insertions and deletions compared to AVL trees, making them more efficient in practice.

Correct Answer: B — Fewer rotations during insertions and deletions.

Q. Which of the following statements is false regarding AVL trees?

Solution

AVL trees do not allow duplicate values; they maintain a strict binary search tree property.

Correct Answer: D — They can have duplicate values.

Q. Which traversal method can be used to obtain a sorted order of elements in a binary search tree?

Solution

In-order traversal of a binary search tree yields the elements in sorted order.

Correct Answer: B — In-order

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