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  2. Scapegoat tree - Wikipedia

    en.wikipedia.org/wiki/Scapegoat_tree

    In computer science, a scapegoat tree is a self-balancing binary search tree, invented by Arne Andersson [2] in 1989 and again by Igal Galperin and Ronald L. Rivest in 1993. [1] It provides worst-case O ( log ⁡ n ) {\displaystyle {\color {Blue}O(\log n)}} lookup time (with n {\displaystyle n} as the number of entries) and O ( log ⁡ n ...

  3. Self-balancing binary search tree - Wikipedia

    en.wikipedia.org/wiki/Self-balancing_binary...

    Binary tree sort, in particular, is likely to be slower than merge sort, quicksort, or heapsort, because of the tree-balancing overhead as well as cache access patterns.) Self-balancing BSTs are flexible data structures, in that it's easy to extend them to efficiently record additional information or perform new operations.

  4. AVL tree - Wikipedia

    en.wikipedia.org/wiki/AVL_tree

    This traversal is guided by the comparison function. In this case, the node always replaces a NULL reference (left or right) of an external node in the tree i.e., the node is either made a left-child or a right-child of the external node. After this insertion, if a tree becomes unbalanced, only ancestors of the newly inserted node are unbalanced.

  5. File:An example of an unrooted binary tree with four leaves.pdf

    en.wikipedia.org/wiki/File:An_example_of_an_un...

    Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.

  6. Binary tree - Wikipedia

    en.wikipedia.org/wiki/Binary_tree

    A tree whose root node has two subtrees, both of which are full binary trees. A perfect binary tree is a binary tree in which all interior nodes have two children and all leaves have the same depth or same level (the level of a node defined as the number of edges or links from the root node to a node). [18] A perfect binary tree is a full ...

  7. Tree sort - Wikipedia

    en.wikipedia.org/wiki/Tree_sort

    A tree sort is a sort algorithm that builds a binary search tree from the elements to be sorted, and then traverses the tree so that the elements come out in sorted order. [1] Its typical use is sorting elements online : after each insertion, the set of elements seen so far is available in sorted order.

  8. AA tree - Wikipedia

    en.wikipedia.org/wiki/AA_tree

    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 .

  9. Red–black tree - Wikipedia

    en.wikipedia.org/wiki/Red–black_tree

    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. [1] When the tree is modified, the new tree is rearranged and "repainted" to restore the coloring properties that constrain how unbalanced the tree can become in the worst case.