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  2. B-tree - Wikipedia

    en.wikipedia.org/wiki/B-tree

    In particular, a B-tree: keeps keys in sorted order for sequential traversing; uses a hierarchical index to minimize the number of disk reads; uses partially full blocks to speed up insertions and deletions; keeps the index balanced with a recursive algorithm; In addition, a B-tree minimizes waste by making sure the interior nodes are at least ...

  3. B+ tree - Wikipedia

    en.wikipedia.org/wiki/B+_tree

    The order or branching factor b of a B+ tree measures the capacity of interior nodes, i.e. their maximum allowed number of direct child nodes. This value is constant over the entire tree. For a b-order B+ tree with h levels of index: [citation needed] The maximum number of records stored is =

  4. Database storage structures - Wikipedia

    en.wikipedia.org/wiki/Database_storage_structures

    Database tables and indexes may be stored on disk in one of a number of forms, including ordered/unordered flat files, ISAM, heap files, hash buckets, or B+ trees. Each form has its own particular advantages and disadvantages. The most commonly used forms are B-trees and ISAM.

  5. 2–3 tree - Wikipedia

    en.wikipedia.org/wiki/2–3_tree

    A 2–3 tree is a B-tree of order 3. [1] Nodes on the outside of the tree have no children and one or two data elements. [2] [3] 2–3 trees were invented by John Hopcroft in 1970. [4] 2–3 trees are required to be balanced, meaning that each leaf is at the same level.

  6. 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

  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. Join-based tree algorithms - Wikipedia

    en.wikipedia.org/wiki/Join-based_tree_algorithms

    Several set operations have been defined on weight-balanced trees: union, intersection and set difference. The union of two weight-balanced trees t 1 and t 2 representing sets A and B, is a tree t that represents A ∪ B. The following recursive function computes this union:

  9. Binary expression tree - Wikipedia

    en.wikipedia.org/wiki/Binary_expression_tree

    Creating a one-node tree. Continuing, a '+' is read, and it merges the last two trees. Merging two trees. Now, a '*' is read. The last two tree pointers are popped and a new tree is formed with a '*' as the root. Forming a new tree with a root. Finally, the last symbol is read. The two trees are merged and a pointer to the final tree remains on ...

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