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  2. B-tree - Wikipedia

    en.wikipedia.org/wiki/B-tree

    A B-tree of depth n+1 can hold about U times as many items as a B-tree of depth n, but the cost of search, insert, and delete operations grows with the depth of the tree. As with any balanced tree, the cost grows much more slowly than the number of elements.

  3. B+ tree - Wikipedia

    en.wikipedia.org/wiki/B+_tree

    A B+ tree can be viewed as a B-tree in which each node contains only keys (not key–value pairs), and to which an additional level is added at the bottom with linked leaves. The primary value of a B+ tree is in storing data for efficient retrieval in a block-oriented storage context — in particular, filesystems .

  4. 2–3–4 tree - Wikipedia

    en.wikipedia.org/wiki/2–3–4_tree

    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.

  5. 2–3 tree - Wikipedia

    en.wikipedia.org/wiki/2–3_tree

    Insertion maintains the balanced property of the tree. [5] To insert into a 2-node, the new key is added to the 2-node in the appropriate order. To insert into a 3-node, more work may be required depending on the location of the 3-node. If the tree consists only of a 3-node, the node is split into three 2-nodes with the appropriate keys and ...

  6. AVL tree - Wikipedia

    en.wikipedia.org/wiki/AVL_tree

    After this insertion, if a tree becomes unbalanced, only ancestors of the newly inserted node are unbalanced. ... Thereby, the situations are denoted as C B, where C ...

  7. Binary search tree - Wikipedia

    en.wikipedia.org/wiki/Binary_search_tree

    Fig. 1: A binary search tree of size 9 and depth 3, with 8 at the root. In computer science, a binary search tree (BST), also called an ordered or sorted binary tree, is a rooted binary tree data structure with the key of each internal node being greater than all the keys in the respective node's left subtree and less than the ones in its right subtree.

  8. Binary tree - Wikipedia

    en.wikipedia.org/wiki/Binary_tree

    The process of inserting a node into a binary tree. Insertion on internal nodes is slightly more complex than on leaf nodes. Say that the internal node is node A and that node B is the child of A. (If the insertion is to insert a right child, then B is the right child of A, and similarly with a left child insertion.)

  9. Join-based tree algorithms - Wikipedia

    en.wikipedia.org/wiki/Join-based_tree_algorithms

    To split a tree into two trees, those smaller than key x, and those larger than key x, we first draw a path from the root by inserting x into the tree. After this insertion, all values less than x will be found on the left of the path, and all values greater than x will be found on the right.