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.

2024年3月29日 · AA trees are the variation of the red-black trees, a form of binary search tree. AA trees use the concept of levels to aid in balancing binary trees. The level of node (instead of colour) is used for balancing information.

AA trees were introduced by Arne Andersson in 1993 and hence the name AA. They are a type of balanced binary search trees. It was developed as a simpler alternative to red black trees. It eliminates many of the conditions that need to be considered to maintain a red-black tree.

An AA-treeis a red-black tree such that no left child is red (i.e red nodes must be right children). This restriction greatly simplifies the insert and remove algorithms.

Red-Black trees: While a 2-3 tree provides an interesting alternative to AVL trees, the fact that it is not a binary tree is a bit annoying. As we saw earlier in the semester, there are ways

An AA tree is a binary search tree representation of a 2-3 tree. Here is an example of a 2-3 tree (left) and the corresponding AA tree (right): For each node, we store its “level” (the small numbers next to nodes in the figure above), which corresponds to the height of …

2020年1月29日 · An AA tree in computer science is defined as a form of balanced tree implemented for storing and retrieving ordered data efficiently. AA trees are treated as a variation of the red-black tree, a form of binary search tree which supports efficient addition and …

AA-Tree Implementation! [Andersson]! Balanced BST Summary! AVL Trees: maintain balance factor by rotations! 2-3 Trees: maintain perfect trees with variable node sizes using rotations! 2-3-4 Trees: simpler operations than 2-3 trees due to pre-splitting and pre-merging nodes, wasteful in memory usage! Red-black Trees: binary representation of 2-3-4

The AA tree is a balanced binary search tree by Arne Andersson. It was introduced in 1993 as an alternative to the AVL tree and Red-black tree. It's just as fast as the other trees but has a much simpler design. See the original paper for details. The only file that you need is aat.h.

We de ne an AA Tree to be a red-black tree such that: (f) Each red node can arise only as the right child of a black node. An AA tree is a binary search tree and so search is O of the height, hence O(lg n). The major convenience of using AA trees in place of 2-3 trees is the relative simplicity in the balancing operations.