Red-Black Tree

Overview:

A Red-Black Tree is a self-balancing binary search tree that ensures the tree remains balanced during insertions and deletions. It uses color properties to maintain balance, where each node is either red or black.

Properties

• Every node is either red or black.
• The root is always black.
• If a red node has children, then both children are black (no two red nodes can be adjacent).
• Every path from a node to its descendant NIL nodes must have the same number of black nodes.

Useful Features

1. Efficient search, insertion, and deletion operations with O(log n) time complexity.
2. Maintains balance automatically, ensuring optimal performance.
3. Widely used in various applications such as databases and file systems.

RED-BLACK Tree Visualization.

For more information about Red-Black Trees, visit this Wikipedia page.