Self-Balancing Trees

Self-balancing trees are data structures that organize information hierarchically, like a digital filing system, while maintaining a balanced shape to ensure quick access. As new data is added or removed, these trees automatically adjust their structure to prevent becoming too skewed, which would slow down searching and updating. This balancing act keeps operations like searching, inserting, and deleting efficient, typically with time complexity proportional to the logarithm of the number of elements, making data retrieval fast even as the dataset grows large. Examples include AVL trees and Red-Black trees, which are widely used in computer science.