Relaxed red-black trees with group updates

In search trees with relaxed balance, updating and rebalancing have been uncoupled such that rebalancing can be controlled separately. Recently, it has been shown how an advanced update such as an insertion of an entire tree into a relaxed multi-way structure can be implemented efficiently. This indicates a similar result for binary trees by a naive interpretation of small multi-way tree nodes as binary configurations. However, this would imply that nodes must be connected by level links, which significantly deviates from the usual structural implementations of binary trees. In this paper, we show that it is possible to define binary schemes which are both natural and efficient.