Which of the following can be the valid balance factor of any node in an AVL tree?
Question
Which of the following can be the valid balance factor of any node in an AVL tree?
Solution
The balance factor of any node in an AVL tree can be -1, 0, or 1.
Here's why:
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The balance factor of a node in an AVL tree is the height of its left child's subtree minus the height of its right child's subtree.
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An AVL tree is a self-balancing binary search tree, and the balance factor of any node in it is kept between -1 to 1 to ensure the tree remains balanced during insertions and deletions.
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If the balance factor becomes less than -1 or more than 1 then the tree is balanced using rotation operations.
So, the valid balance factors for any node in an AVL tree are -1, 0, and 1.
Similar Questions
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