What is a red-black tree?

Can you explain what a red-black tree is?

A red-black tree is a type of self-balancing binary search tree. It ensures that the tree remains balanced during insertions and deletions.

What are the properties of a red-black tree?

There are four main properties: 1) Each node is either red or black, 2) The root is black, 3) Red nodes cannot have red children, and 4) Every path from a node to its descendant leaves has the same number of black nodes.

Why are red-black trees important?

They are important because they provide efficient performance for dynamic set operations like insertion, deletion, and lookup, maintaining O(log n) time complexity.

Can you give an example of how to insert a node into a red-black tree?

Sure! When inserting a node, you first add it like a regular binary search tree, then you fix any violations of the red-black properties through rotations and recoloring.