Red-Black Tree Operations

Learn to add and remove an element in red-black trees.

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To implement add(x) in a RedBlackTree, we perform a standard BinarySearchTree insertion to add a new leaf, u, with u.x = x and set u.colour = red. Note that this does not change the black height of any node, so it does not violate the black-height property. It may, however, violate the left-leaning property (if u is the right child of its parent), and it may violate the no-red-edge property (if u’s parent is red). To restore these properties, we call the addFixup(u) method.

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