(data structure)

**Definition:**
A *tree* with no more than **k** *children* for each *node*.

**Also known as** k-way tree.

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

*tree*, *multiway tree*.

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

*binary tree*, *ternary search tree*.

*Note:
A k-ary tree may be thought of as a multiway tree limited to k children. *

Each node may be implemented as an *array*, a *linked list*, a *tree* (see *binary tree representation of trees*), or more elaborate schemes such as mentioned at multiway tree.

* In an array implementation for a tree without insertions, nodes might be overlapped in one big array, since many entries are note used. Such an improvement is also referred to as "packed" or "compressed".*

Author: PEB

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 4 May 2007.

HTML page formatted Fri Feb 23 10:06:07 2018.

Cite this as:

Paul E. Black, "k-ary tree", in
*Dictionary of Algorithms and Data Structures* [online], Vreda Pieterse and Paul E. Black, eds. 4 May 2007. (accessed TODAY)
Available from: https://www.nist.gov/dads/HTML/karyTree.html