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An AA tree in computer science is a form of balanced tree used for storing and retrieving ordered data efficiently. AA trees are named after their originator, Swedish computer scientist Arne Andersson.[1]
AA trees are a variation of the red–black tree, a form of binary search tree which supports efficient addition and deletion of entries. Unlike red–black trees, red nodes on an AA tree can only be added as a right subchild. In other words, no red node can be a left sub-child. This results in the simulation of a 2–3 tree instead of a 2–3–4 tree, which greatly simplifies the maintenance operations. The maintenance algorithms for a red–black tree need to consider seven different shapes to properly balance the tree:
An AA tree on the other hand only needs to consider two shapes due to the strict requirement that only right links can be red:
^Andersson, Arne (1993). "Balanced Search Trees made Simple". WADS '93: Proceedings of the Third Workshop on Algorithms and Data Structures. Springer-Verlag: 60–71. ISBN 3540571558.
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