# binary search tree

(data structure)

**Definition:**
A *binary tree* where every *node's* left *subtree* has *keys* less than the node's key, and every right subtree has keys greater than the node's key.

**Generalization** (I am a kind of ...)

*binary tree*, *search tree*.

**Specialization** (... is a kind of me.)

*AVL tree*, *splay tree*, *threaded tree*, *randomized binary search tree*, *discrete interval encoding tree*.

**Aggregate parent** (I am a part of or used in ...)

*treesort (1)*.

**See also**
*relaxed balance*, *ternary search tree*, *move-to-root heuristic*, *jump list*.

*Note:
A binary search tree is almost always implemented with pointers, but may have a variety of constraints on how it is composed.*

Author: PEB

## Implementation

Ben Pfaff's insert, delete, search, copy, etc. (literate C); Maksim Goleta's C# Collections uses it to implement sorted set (C#). insert (C), search (C). Algorithms and Data Structures' explanation with links to add, delete, search, and output values in order (Java and C++). Insert, search, delete, and various traversals (Modula-2) (use must be acknowledged).

Go to the
Dictionary of Algorithms and Data
Structures home page.

If you have suggestions, corrections, or comments, please get in touch
with Paul Black.

Entry modified 1 October 2019.

HTML page formatted Tue Oct 1 16:35:30 2019.

Cite this as:

Paul E. Black, "binary search tree", in
*Dictionary of Algorithms and Data Structures* [online], Paul E. Black, ed. 1 October 2019. (accessed TODAY)
Available from: https://www.nist.gov/dads/HTML/binarySearchTree.html