self-balancing binary search trees

Self-balancing binary search trees are data structures that automatically adjust their shape to maintain efficient search operations. They achieve this by dynamically reorganizing the tree whenever data is inserted or deleted. The self-balancing mechanism ensures that the tree remains balanced, preventing it from becoming skewed and minimizing the search time from the top (root) to the bottom (leaf) of the tree. This balance is typically achieved by applying various algorithms, such as AVL, Red-Black, or Splay trees, which maintain specific rules for the tree's structure and perform rotations to restore balance when required. The self-balancing feature of these trees significantly improves the performance of search, insert, and delete operations compared to non-balanced binary search trees.

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