What are the applications of tree rotations in data structures?
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What are the applications of tree rotations in data structures?
Tree rotations are primarily used in self-balancing binary search trees like AVL trees and Red-Black trees. They help maintain the tree's balance during insertions and deletions.
Can you explain how tree rotations improve search efficiency?
By keeping the tree balanced, tree rotations ensure that the height of the tree remains logarithmic relative to the number of nodes, which optimizes search operations.
Are there different types of tree rotations?
Yes, there are mainly two types: left rotation and right rotation. They can be combined for double rotations, like left-right or right-left rotations.
How do these rotations affect the overall performance of the tree?
Tree rotations help maintain O(log n) time complexity for search, insert, and delete operations, which is crucial for performance in large datasets.
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