AVL TREE ROTATIONS PDF

Other than this will cause restructuring or balancing the tree. Balancing performed is carried in the following ways, 1. Right rotation RR In the binary search tree shown below is a case of right rotation. There is a single rotation required at the root 50, done as followed, 20 will be the new root. Right Rotation 2. Left rotation LL In the binary search tree shown below is a case of left rotation where required.

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Tree rotation is an operation that changes the structure without interfering with the order of the elements on an AVL tree. It moves one node up in the tree and one node down. It is used to change the shape of the tree, and to decrease its height by moving smaller subtrees down and larger subtrees up, resulting in improved performance of many tree operations.

Insert values in the tree using this function. Insert Element into the tree 2. InOrder traversal 4. PreOrder traversal 5. PostOrder traversal 6. Exit Enter your Choice: 1 Enter value to be inserted: 13 1. Exit Enter your Choice: 1 Enter value to be inserted: 10 1. Exit Enter your Choice: 1 Enter value to be inserted: 15 1. Exit Enter your Choice: 1 Enter value to be inserted: 5 1.

Exit Enter your Choice: 1 Enter value to be inserted: 11 1. Exit Enter your Choice: 1 Enter value to be inserted: 8 1. Exit Enter your Choice: 1 Enter value to be inserted: 16 1. Exit Enter your Choice: 3 Inorder Traversal: 4 5 8 10 11 13 15 16 1.

Exit Enter your Choice: 4 Preorder Traversal: 10 5 4 8 13 11 15 16 1. Exit Enter your Choice: 5 Postorder Traversal: 4 8 5 11 16 15 13 10 1. Exit Enter your Choice: 1 Enter value to be inserted: 14 1. Exit Enter your Choice: 1 Enter value to be inserted: 3 1.

Exit Enter your Choice: 1 Enter value to be inserted: 7 1. Exit Enter your Choice: 1 Enter value to be inserted: 9 1. Exit Enter your Choice: 6.

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Illustration[ edit ] The right rotation operation as shown in the adjacent image is performed with Q as the root and hence is a right rotation on, or rooted at, Q. This operation results in a rotation of the tree in the clockwise direction. The inverse operation is the left rotation, which results in a movement in a counter-clockwise direction the left rotation shown above is rooted at P. The key to understanding how a rotation functions is to understand its constraints.

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Tree rotation

Stay safe, friends. Learn to code from home. Use our free 2, hour curriculum. An AVL tree is a subtype of binary search tree. A BST is a data structure composed of nodes. It has the following guarantees: Each tree has a root node at the top.

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