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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 computer science, a red–black tree is a self-balancing binary search tree data structure noted for fast storage and retrieval of ordered information. The nodes in a red-black tree hold an extra "color" bit, often drawn as red and black, which help ensure that the tree is always approximately balanced.
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The only thing about NIL nodes that is special for red-black trees is that it is useful to consider them to be black. 99.11.197.75 00:04, 5 May 2011 (UTC) NIL nodes seem to be an unneeded complexity while treating red-black trees, just the set of properties should be somewhat adjusted: Properties 2 and 3 deleted
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2–3–4 trees are B-trees of order 4; [1] like B-trees in general, they can search, insert and delete in O(log n) time.One property of a 2–3–4 tree is that all external nodes are at the same depth.
If α is given its maximum allowed value, the worst-case height of a weight-balanced tree is the same as that of a red–black tree at . The number of balancing operations required in a sequence of n insertions and deletions is linear in n, i.e., balancing takes a constant amount of overhead in an amortized sense. [8]