Insertion in Red-Black Tree using Python
A red-black tree is a binary search tree with the additional property of being "nearly" adjusted. Every node in a red-black tree has a color, either red or black, and these colors are utilized to keep up with balance during insertions and deletions.
Red-Black Tree Insertion Algorithm:
Begin by inserting the new node as you would in a standard binary search tree (BST). Place the node in a suitable position in light of the examination of key qualities. Variety the Node-Red: Upon insertion, variety the recently inserted node as red. This may at first disregard a few properties of the red-black tree.
Fix Violations (Insert Fix):
To guarantee that the tree keeps up with the red-black properties, you want to play out a progression of recoloring and rotation tasks known as the "insert fix." This fix reestablishes the equilibrium and properties of the tree while obliging the new red node.
Balancing the Tree: Recoloring and Rotation
When both the parent and uncle of the recently embedded node are red, recolor the parent and uncle to dark and the grandparent to red. This guarantees that the red property is reestablished. The cycle might go on up the tree to fix further lopsided characteristics.
When the recently embedded node is the left child of a right child (or the other way around), rotations are performed to realign the tree. This keeps up with the dark property and guarantees balance.