Which statement about an AVL tree is correct?

Question

BlackTom AI · Accepted Answer

To begin evaluating the statements about an AVL tree, recall that an AVL tree is a self-balancing binary search tree (BST) that maintains a strict balance condition.
Option 1: 'It is a BST where the heights of the left and right subtrees of any node differ by at most 1.' This matches the formal definition of an AVL tree: for every node, the height difference (balance factor) between its left and right subtrees is at most 1, ensuring logarithmic height and efficient operations.
Option 2: 'It is any balanced tree.' This is too vague. Not every balanced tree is an AVL tree, because AVL imposes a specific balance constraint at every node, whereas other balanced trees (like red-black trees) use different balancing criteria.
Option 3: 'It is a BST where every node has at most one child.' This describes a degenerate or skewed tree, not an AVL tree. AVL trees require node degrees that allow two children in many nodes to satisfy the balance conditions, not a limit to at most one child.
Option 4: 'It is a complete binary tree with heap property.' This combines two concepts (completeness and heap property) that are not part of the AVL definition. AVL trees focus on node balance, not completeness or heap ordering, so this is inaccurate for describing AVL trees.

Which statement about an AVL tree is correct?

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