Red-Black Tree Insertion
Explore the algorithm for inserting nodes in a Red-Black Tree and understand how to maintain its balancing properties through recoloring and rotations. Learn about different cases such as Left-Left, Left-Right, Right-Right, and Right-Left rotations and how they keep the tree balanced after insertion.
Insertion in Red-Black Tree
Here is a high-level description of the algorithm involved in inserting a value in a Red-Black Tree:
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Insert the given node using the standard BST Insertion technique that we studied earlier and color it Red.
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If the given node is the root, then change its color to Black.
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If the given node is not the root, then we 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:
- Recoloring Nodes
- 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 given node, which is the ...