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  2. B-tree - Wikipedia

    en.wikipedia.org/wiki/B-tree

    The term B-tree may refer to a specific design or it may refer to a general class of designs. In the narrow sense, a B-tree stores keys in its internal nodes but need not store those keys in the records at the leaves. The general class includes variations such as the B+ tree, the B * tree and the B *+ tree.

  3. B+ tree - Wikipedia

    en.wikipedia.org/wiki/B+_tree

    Memory based B+ tree implementation as C++ template library; 2019 improvement of previous; Stream based B+ tree implementation as C++ template library; Open Source JavaScript B+ Tree Implementation; Perl implementation of B+ trees; Java/C#/Python implementations of B+ trees; C# B+ tree and related "A-List" data structures; File based B+Tree in ...

  4. Order statistic tree - Wikipedia

    en.wikipedia.org/wiki/Order_statistic_tree

    To turn a regular search tree into an order statistic tree, the nodes of the tree need to store one additional value, which is the size of the subtree rooted at that node (i.e., the number of nodes below it). All operations that modify the tree must adjust this information to preserve the invariant that size[x] = size[left[x]] + size[right[x]] + 1

  5. Binary search - Wikipedia

    en.wikipedia.org/wiki/Binary_search

    Binary search Visualization of the binary search algorithm where 7 is the target value Class Search algorithm Data structure Array Worst-case performance O (log n) Best-case performance O (1) Average performance O (log n) Worst-case space complexity O (1) Optimal Yes In computer science, binary search, also known as half-interval search, logarithmic search, or binary chop, is a search ...

  6. Self-balancing binary search tree - Wikipedia

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

    Most operations on a binary search tree (BST) take time directly proportional to the height of the tree, so it is desirable to keep the height small. A binary tree with height h can contain at most 2 0 +2 1 +···+2 h = 2 h+11 nodes. It follows that for any tree with n nodes and height h: + And that implies:

  7. Breadth-first search - Wikipedia

    en.wikipedia.org/wiki/Breadth-first_search

    If G is a tree, replacing the queue of this breadth-first search algorithm with a stack will yield a depth-first search algorithm. For general graphs, replacing the stack of the iterative depth-first search implementation with a queue would also produce a breadth-first search algorithm, although a somewhat nonstandard one. [10]

  8. Binary tree - Wikipedia

    en.wikipedia.org/wiki/Binary_tree

    the empty set is an extended binary tree; if T 1 and T 2 are extended binary trees, then denote by T 1 • T 2 the extended binary tree obtained by adding a root r connected to the left to T 1 and to the right to T 2 [clarification needed where did the 'r' go in the 'T 1 • T 2 ' symbol] by adding edges when these sub-trees are non-empty.

  9. Weight-balanced tree - Wikipedia

    en.wikipedia.org/wiki/Weight-balanced_tree

    With the new operations, the implementation of weight-balanced trees can be more efficient and highly-parallelizable. [10] [11] Join: The function Join is on two weight-balanced trees t 1 and t 2 and a key k and will return a tree containing all elements in t 1, t 2 as well as k. It requires k to be greater than all keys in t 1 and smaller than ...