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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. Ukkonen's algorithm - Wikipedia

    en.wikipedia.org/wiki/Ukkonen's_algorithm

    The naive implementation for generating a suffix tree going forward requires O(n 2) or even O(n 3) time complexity in big O notation, where n is the length of the string. By exploiting a number of algorithmic techniques, Ukkonen reduced this to O ( n ) (linear) time, for constant-size alphabets, and O ( n log n ) in general, matching the ...

  6. Pattern matching - Wikipedia

    en.wikipedia.org/wiki/Pattern_matching

    Tree patterns are used in some programming languages as a general tool to process data based on its structure, e.g. C#, [1] F#, [2] Haskell, [3] ML, Python, [4] Ruby, [5] Rust, [6] Scala, [7] Swift [8] and the symbolic mathematics language Mathematica have special syntax for expressing tree patterns and a language construct for conditional ...

  7. 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 ...

  8. BK-tree - Wikipedia

    en.wikipedia.org/wiki/BK-tree

    Then, BK-tree is defined in the following way. An arbitrary element a is selected as root node. The root node may have zero or more subtrees. The k-th subtree is recursively built of all elements b such that (,) =. BK-trees can be used for approximate string matching in a dictionary. [example needed]

  9. Abstract syntax tree - Wikipedia

    en.wikipedia.org/wiki/Abstract_syntax_tree

    while b ≠ 0: if a > b: a:= a-b else: b:= b-a return a An abstract syntax tree ( AST ) is a data structure used in computer science to represent the structure of a program or code snippet. It is a tree representation of the abstract syntactic structure of text (often source code ) written in a formal language .