What is the balance factor of a node in an AVL tree?

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Question: What is the balance factor of a node in an AVL tree?

Options:

Correct Answer: Height of left subtree - Height of right subtree

Solution:

The balance factor of a node in an AVL tree is calculated as the height of the left subtree minus the height of the right subtree.

What is the balance factor of a node in an AVL tree?

What is the balance factor of a node in an AVL tree?

Step 1: Understand that an AVL tree is a type of binary search tree that keeps itself balanced.
Step 2: Know that each node in the AVL tree has two subtrees: a left subtree and a right subtree.
Step 3: Find the height of the left subtree of the node. The height is the number of edges on the longest path from that subtree's root to its furthest leaf.
Step 4: Find the height of the right subtree of the node in the same way.
Step 5: Calculate the balance factor by subtracting the height of the right subtree from the height of the left subtree. The formula is: Balance Factor = Height of Left Subtree - Height of Right Subtree.
Step 6: A balance factor of 0 means the node is balanced, a positive value means the left subtree is taller, and a negative value means the right subtree is taller.

Balance Factor – The balance factor is a measure used in AVL trees to determine the balance of a node, calculated as the height of the left subtree minus the height of the right subtree.