Question

In: Computer Science

Course: DSA Data Structure and Algorithm What is an AVL Tree, what are its different types...

Course: DSA Data Structure and Algorithm

What is an AVL Tree, what are its different types of rotation, Illustrate with examples.

Solutions

Expert Solution

AVL tree is a self balanced binary search tree.

Rotaions in AVL Tree:

  • Left rotation
  • Right rotation
  • Left-Right rotation
  • Right-Left rotation

LEFT ROTATION

Every node in the tree moves one position to the left of the current position. Type of single rotation.

RIGHT ROTATION

Every node in the tree moves one position to the right of the current position. Type of single rotation

LEFT-RIGHT ROTATION

Combination of Left Rotation followed by Right Rotation. Type of double rotation.Firstly, every node in the tree moves one postion to the left and then one position to right of the current position.

RIGHT-LEFT ROTATION

Combination of Right Rotation followed by Left Rotation. Type of double rotation.Firstly, every node in the tree moves one postion to the right and then one position to left of the current position.


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