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Data Structures for Coding Interviews in C#

Red-Black Tree Insertion

Explore the insertion process in red-black trees and understand how to maintain tree balance using recoloring and rotations. This lesson covers standard BST insertion, node relationships, and the four key balancing cases for efficient performance.

We'll cover the following...

Insertion in Red-Black Tree

Here is a high-level description of the algorithm involved in inserting a value in a red-black tree:

  1. Insert the given node using the standard BST insertion technique that was studied earlier and color it Red.

  2. If the given node is the root, then change its color to Black.

  3. If the given node is not the root, then you will have to perform some operations to make the tree follow the red-black property.

Rebalancing the Tree

There are two ways to balance an unbalanced tree:

  1. Recoloring nodes
  2. Rotating nodes (left or right)

But before the details are explained, let’s define the structure of the red-black tree and some nodes relative to the ...