17.2. Rebalancing Process

Try these first

1. 1.

   What is the maximum height difference allowed in an AVL tree?

   Hint

   Consider the balance condition of the tree.

2. 2.

   What type of operations does an AVL tree support?

   Hint

   Think about the primary functions of search trees.

3. 3.

   What defines an AVL tree?

   • A balanced binary tree
   • A binary tree with height constraints
   • A type of graph

   Hint

   Focus on the attributes specific to binary trees.

4. 4.

   True or False: An AVL tree can become unbalanced after every insertion.

   • True
   • False

   Hint

   Think about what happens with tree operations.

5. 5.

   Given the following sequence of insertions into an empty AVL tree: 10, 20, 30, illustrate the tree's structure after each insertion and state whether rotations were necessary.

   Hint

   Draw out the tree after each insertion.

6. 6.

   Explain how to perform a double rotation in an AVL tree and provide an example with node values.

   Hint

   Visualize the tree structure and the heights before and after rotations.