binary tree rotations

Binary tree rotations refer to the fundamental operations used to balance and restructure binary trees in computer science. A binary tree rotation involves rearranging the structure of a binary tree by making one node the root of its subtree. This rotation can be left or right, depending on the specific tree manipulation needed. The purpose of binary tree rotations is to maintain the balance of the tree, especially in cases when it becomes imbalanced due to insertion or deletion of nodes. By performing rotations, the height of the tree can be optimized, ensuring efficient search and retrieval operations. Rotations are typically performed on nodes that violate the desired balance conditions, such as left-left or right-right imbalances. They involve adjusting the parent-child relationships, promoting a node from one position to another, and updating pointers accordingly. Through binary tree rotations, the overall structure of a binary tree can be maintained, preserving the ordering properties while achieving balance. This helps improve the efficiency and performance of operations performed on the tree, such as searching, insertion, and deletion.

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