Suppose I have a binary search tree which, initially, satisfies all of the red-black conditions and contains one node for every integer s in some set S. Next, I want to a new node; say a (which is not in S).
Is the result of this addition, after rebalancing, unique?
Put another way: is there only one way to rebalance a red-black tree after inserting a node?
I believe that they are not unique, although I offer no proof (and little confidence). I'm just wondering if someone more knowledgeable than myself might be so kind as to edify me?