Which of the following is true about the balancing of AVL trees?

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Question: Which of the following is true about the balancing of AVL trees?

Options:

Correct Answer: They require rotations to maintain balance after insertions and deletions.

Solution:

AVL trees require rotations to maintain balance after insertions and deletions to ensure that the balance factor remains within the allowed range.

Which of the following is true about the balancing of AVL trees?

Which of the following is true about the balancing of AVL trees?

Step 1: Understand what an AVL tree is. An AVL tree is a type of binary search tree that keeps itself balanced.
Step 2: Learn about the balance factor. The balance factor of a node in an AVL tree is the difference between the heights of its left and right subtrees.
Step 3: Know the allowed range for the balance factor. In an AVL tree, the balance factor must be -1, 0, or 1.
Step 4: Recognize that when you insert or delete a node, the balance factor can change and may go outside the allowed range.
Step 5: Understand that to fix the balance factor, you may need to perform rotations. Rotations are operations that rearrange the nodes to restore balance.
Step 6: Remember that there are different types of rotations: single right rotation, single left rotation, double right-left rotation, and double left-right rotation.

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