AA trees are a variation of the red-black tree, a form of binary search tree which supports efficient addition and deletion of entries.
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Rather than building a pointer based quadtree, the points can be maintained in sorted order in a data structure such as a binary search tree.
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Like the Stern Brocot tree, the Calkin Wilf tree contains each positive rational number exactly once, but it is not a binary search tree.
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A single left rotation is done in O ( 1 ) time but is often integrated within the node insertion and deletion of binary search trees.
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The set of children can also be represented as a binary search tree; one instance of this idea is the ternary search tree developed by Sedgewick.
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It is worth noting that a self-balancing binary search tree can be used to implement the buckets for a hash table that uses separate chaining.
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The static optimality problem is the optimization problem of finding the binary search tree that minimizes the expected search time, given the 2n + 1 probabilities.
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Lookup is not modified from a standard binary search tree, and has a worst-case time of O ( log " n " ).
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However, binary search is usually more efficient for searching as binary search trees will most likely be imperfectly balanced, resulting in slightly worse performance than binary search.
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In computer science, a "'scapegoat tree "'is a self-balancing binary search tree, invented by amortized insertion and deletion time.
