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2. Binary tree - Wikipedia

   en.wikipedia.org/wiki/Binary_tree

   A full binary tree An ancestry chart which can be mapped to a perfect 4-level binary tree. A full binary tree (sometimes referred to as a proper, [15] plane, or strict binary tree) [16] [17] is a tree in which every node has either 0 or 2 children.

3. 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+1 −1 nodes. It follows that for any tree with n nodes and height h: + And that implies:

4. Weight-balanced tree - Wikipedia

   en.wikipedia.org/wiki/Weight-balanced_tree

   A weight-balanced tree is a binary search tree that stores the sizes of subtrees in the nodes. That is, a node has fields key, of any ordered type; value (optional, only for mappings) left, right, pointer to node; size, of type integer. By definition, the size of a leaf (typically represented by a nil pointer) is zero.

5. Optimal binary search tree - Wikipedia

   en.wikipedia.org/wiki/Optimal_binary_search_tree

   In computer science, an optimal binary search tree (Optimal BST), sometimes called a weight-balanced binary tree, [1] is a binary search tree which provides the smallest possible search time (or expected search time) for a given sequence of accesses (or access probabilities). Optimal BSTs are generally divided into two types: static and dynamic.

6. File:Height Balanced Binary Tree.pdf - Wikipedia

   en.wikipedia.org/wiki/File:Height_Balanced...

   English: Analysis of data structures, tree compared to hash and array based structures, height balanced tree compared to more perfectly balanced trees, a simple height balanced tree class with test code, comparable statistics for tree performance, statistics of worst case strictly-AVL-balanced trees versus perfect full binary trees.

7. Random binary tree - Wikipedia

   en.wikipedia.org/wiki/Random_binary_tree

   Binary trees may also be studied with all nodes unlabeled, or with labels that are not given in sorted order. For instance, the Cartesian tree data structure uses labeled binary trees that are not necessarily binary search trees. [4] A random binary tree is a random tree drawn from a certain probability distribution on binary trees. In many ...

8. B-tree - Wikipedia

   en.wikipedia.org/wiki/B-tree

   Let h ≥ –1 be the height of the classic B-tree (see Tree (data structure) § Terminology for the tree height definition). Let n ≥ 0 be the number of entries in the tree. Let m be the maximum number of children a node can have. Each node can have at most m−1 keys.

9. Join-based tree algorithms - Wikipedia

   en.wikipedia.org/wiki/Join-based_tree_algorithms

   Later Sleator and Tarjan [3] described a join algorithm for splay trees which runs in amortized logarithmic time. Later Adams [4] extended join to weight-balanced trees and used it for fast set–set functions including union, intersection and set difference.