Question

What is Red-Black Tree? State its properties and explain working of insert operation of Red Black tree with example.

Answer 1

alright

• so a red black tree is a kind of self-balancing binary search tree in computer science.
• Each node of the binary tree has an extra bit, and that bit is often interpreted as the color (red or black) of the node.

These color bits are used to ensure the tree remains approximately balanced during insertions and deletions.

properties

1. Each node is either red or black.
2. The root is black.
3. This rule is sometimes omitted. Since the root can always be changed from red to black, but not necessarily vice versa, this rule has little effect on analysis.
4. All leaves (NIL) are black. If a node is red, then both its children are black.
5. Every path from a given node to any of its descendant NIL nodes contains the same number of black nodes.
6. Some definitions: the number of black nodes from the root to a node is the node's black depth; the uniform number of black nodes in all paths from root to the leaves is called the black-height of the red–black tree.