# What is a red black tree explain the properties of a red black tree with an example?

**red**-

**black tree**

**red**-

**black tree**is a binary search

**tree**which has the following

**red**-

**black properties**: Every node is either

**red**or

**black**. Every leaf (NULL) is

**black**. If a node is

**red**, then both its children are

**black**.

Beside this, what is red black tree data structure?

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.

Likewise, which of the following is are properties of red black tree? 1) Every node has a color either **red** or **black**. 2) Root of **tree** is always **black**. 3) There are no two adjacent **red** nodes (A **red** node cannot have a **red** parent or **red** child). 4) Every path from a node (including root) to any of its descendant NULL node has the same number of **black** nodes.

Additionally, what do you mean by the Red Black Tree?

**Definition**. A **red**-**black tree** is a binary search **tree** in which each node is colored **red** or **black** such that. The root is **black**. The children of a **red** node **are black**. Every path from the root to a 0-node or a 1-node has the same number of **black** nodes.

What is the use of red black tree?

**Red**-**black tree** is a kind of balanced **tree** (others are AVL-**trees** and 2-3-**trees**) and can be used everywhere where **trees** are used, usually for the fast element searches. E.g., it is used in some implementations of C++ STL (Standard Template Library) for sets and maps.