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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

    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. Ukkonen's algorithm - Wikipedia

    en.wikipedia.org/wiki/Ukkonen's_algorithm

    It first builds T 1 using the 1 st character, then T 2 using the 2 nd character, then T 3 using the 3 rd character, ..., T n using the n th character. You can find the following characteristics in a suffix tree that uses Ukkonen's algorithm: Implicit suffix tree T i+1 is built on top of implicit suffix tree T i.

  6. 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 ...

  7. Tree traversal - Wikipedia

    en.wikipedia.org/wiki/Tree_traversal

    In computer science, tree traversal (also known as tree search and walking the tree) is a form of graph traversal and refers to the process of visiting (e.g. retrieving, updating, or deleting) each node in a tree data structure, exactly once. Such traversals are classified by the order in which the nodes are visited.

  8. Branch and bound - Wikipedia

    en.wikipedia.org/wiki/Branch_and_bound

    The following is the skeleton of a generic branch and bound algorithm for minimizing an arbitrary objective function f. [3] To obtain an actual algorithm from this, one requires a bounding function bound, that computes lower bounds of f on nodes of the search tree, as well as a problem-specific branching rule.

  9. 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.