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This is a list of well-known data structures. For a wider list of terms, see list of terms relating to algorithms and data structures. For a comparison of running times for a subset of this list see comparison of data structures.
A data structure known as a hash table.. In computer science, a data structure is a data organization and storage format that is usually chosen for efficient access to data. [1] [2] [3] More precisely, a data structure is a collection of data values, the relationships among them, and the functions or operations that can be applied to the data, [4] i.e., it is an algebraic structure about data.
The NIST Dictionary of Algorithms and Data Structures [1] is a reference work maintained by the U.S. National Institute of Standards and Technology. It defines a large number of terms relating to algorithms and data structures. For algorithms and data structures not necessarily mentioned here, see list of algorithms and list of data structures.
Discrete mathematics - Study of discrete structures. Used in digital computer systems. Graph theory – Foundations for data structures and searching algorithms. Mathematical logic – Boolean logic and other ways of modeling logical queries; the uses and limitations of formal proof methods. Number theory – Theory of the integers.
For all nodes, the left subtree's key must be less than the node's key, and the right subtree's key must be greater than the node's key. These subtrees must all qualify as binary search trees. The worst-case time complexity for searching a binary search tree is the height of the tree , which can be as small as O(log n) for a tree with n elements.
An x-fast trie containing the integers 1 (001 2), 4 (100 2) and 5 (101 2), which can be used to efficiently solve the predecessor problem.. One simple solution to this problem is to use a balanced binary search tree, which achieves (in Big O notation) a running time of () for predecessor queries.
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