Question: Which of the following statements is false regarding AVL trees?
Options:
They are a type of self-balancing binary search tree.
They can become unbalanced after insertion or deletion.
They require more rotations than Red-Black trees.
They can have duplicate values.
Correct Answer: They can have duplicate values.
Solution:
AVL trees do not allow duplicate values; they maintain a strict binary search tree property.
Which of the following statements is false regarding AVL trees?
Practice Questions
Q1
Which of the following statements is false regarding AVL trees?
They are a type of self-balancing binary search tree.
They can become unbalanced after insertion or deletion.
They require more rotations than Red-Black trees.
They can have duplicate values.
Questions & Step-by-Step Solutions
Which of the following statements is false regarding AVL trees?
Step 1: Understand what an AVL tree is. An AVL tree is a type of binary search tree that is balanced, meaning the heights of the two child subtrees of any node differ by at most one.
Step 2: Know the properties of binary search trees. In a binary search tree, for any given node, all values in the left subtree are less than the node's value, and all values in the right subtree are greater.
Step 3: Learn about duplicates in AVL trees. AVL trees do not allow duplicate values, meaning each value must be unique.
Step 4: Identify the false statement. If a statement claims that AVL trees allow duplicates or do not maintain the binary search tree property, that statement is false.
No concepts available.
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