(data structure)

**Definition:**
A *binary tree* in which each *node* has exactly zero or two *children*.

**Also known as** proper binary tree.

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

*binary tree*.

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

*coding tree*, *perfect binary tree*.

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

*Huffman coding*.

**See also**
*complete binary tree*.

*Note:
In other words, every node is either a leaf or has two children. For efficiency, any Huffman coding is a full binary tree. A BDD is a full binary tree. *

After Mustafa Ege (ege@eti.cc.hun.edu.tr) Hacettepe University, comp.theory, 17 November 1998. Also [CLR90, page 95], and [Stand98, page 248].

This kind of tree is called "proper" by Goodrich & Tamassia page 231.

* Sahni, page 461, and Carrano & Prichard, page 429, define full binary tree the way we define a perfect binary tree.*

Author: PEB

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

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Entry modified 27 August 2014.

HTML page formatted Wed Mar 13 12:42:46 2019.

Cite this as:

Paul E. Black, "full binary tree", in
*Dictionary of Algorithms and Data Structures* [online], Paul E. Black, ed. 27 August 2014. (accessed TODAY)
Available from: https://www.nist.gov/dads/HTML/fullBinaryTree.html