How red black tree is used in implementation of sorted directories?

Red-black trees are a type of self-balancing binary search tree that maintain sorted data, making them ideal for implementing sorted directories. In a sorted directory, the red-black tree allows for efficient insertion, deletion, and lookup operations, all of which can be performed in O(log n) time due to its balanced nature. The properties of red-black trees ensure that the tree remains approximately balanced, preventing degeneration into a linear structure, which is crucial for maintaining order in directory entries. This efficiency is particularly valuable in systems where quick access to sorted data is essential, such as file systems and databases.