In an AVL tree, what is the maximum height difference between the left and right

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Question: In an AVL tree, what is the maximum height difference between the left and right subtrees of any node?

Options:

Correct Answer: 1

Solution:

In an AVL tree, the height difference (balance factor) between the left and right subtrees of any node must be at most 1 to maintain balance.

In an AVL tree, what is the maximum height difference between the left and right subtrees of any node?

In an AVL tree, what is the maximum height difference between the left and right subtrees of any node?

Step 1: Understand what an AVL tree is. An AVL tree is a type of binary search tree that maintains balance.
Step 2: Know what 'height' means. The height of a tree is the number of edges on the longest path from the root to a leaf.
Step 3: Learn about 'subtrees'. Each node in a tree can have a left subtree and a right subtree.
Step 4: Define 'height difference'. The height difference is the difference in height between the left and right subtrees of a node.
Step 5: Remember the AVL tree property. In an AVL tree, the height difference (also called the balance factor) must be at most 1.
Step 6: Conclude that this means the left subtree can be 1 height more than the right subtree, the right can be 1 height more than the left, or they can be equal.

AVL Tree Properties – An AVL tree is a self-balancing binary search tree where the difference in heights between the left and right subtrees (balance factor) of any node is at most 1.