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When nodes are removed or deleted, the tree must be transformed to keep these properties. This is done by repainting or [[Tree_rotation|rotating]] nodes.
A newly added node should be red by default. If the parent node is black, the tree is still valid. If both the parent node is red, and there exists a red uncle node, then they should be repainted black, and the grandparent node should be repainted red. (It may be necessary to continue repainting up to the root.) Otherwise, [[tree rotation|rotations]] are
See Also: [[B tree]]
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