Inserting nodes into a red-black tree may require recoloring and/or rotations (similar to those in AVL trees) to balance the tree and maintain its coloring rules.

Insertion and Recoloring Algorithm

The insertion process is performed as follows:

• If the tree is empty, insert a new node and color it black.
• Otherwise, insert a new leaf node at the end and color it red.
• If the parent node is red and its neighbor (the uncle of the inserted node) is also red, perform a recoloring: flip the colors of the uncle, parent, and grandparent nodes.
• If the parent node is red and its neighbor (the uncle of the inserted node) is null or black (where all null nodes are treated as black), perform a rotation on the inserted node and the parent (either a Left or Right rotation depending on which balances the tree and maintains coloring rules).

Even after a rotation, additional rotations or recolorings may need to be performed until the tree is fully balanced.