(definition)

**Definition:**
An *undirected graph* with an *edge* between every pair of *vertices*.

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

*undirected graph*, *dense graph*, *connected graph*.

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

*clique*.

**See also**
*sparse graph*, *complete tree*, *perfect binary tree*.

*Note:
A complete graph has n(n-1)/2 edges, where n is the number of vertices.*

Author: PEB

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Entry modified 25 February 2005.

HTML page formatted Wed Mar 13 12:42:45 2019.

Cite this as:

Paul E. Black, "complete graph", in
*Dictionary of Algorithms and Data Structures* [online], Paul E. Black, ed. 25 February 2005. (accessed TODAY)
Available from: https://www.nist.gov/dads/HTML/completeGraph.html