# diameter

(definition)

**Definition:**
The maximum of the distances between all possible pairs of *vertices* of a *graph*.

**See also**
*degree*.

*Note:
The distance between two vertices u and v in a **weighted graph* is the sum of weights of the *edges* of a shortest path between them. For unweighted graph, it is the number of edges of a shortest path.

*
** From Algorithms and Theory of Computation Handbook, page 20-26, Copyright © 1999 by CRC Press LLC. Appearing in the Dictionary of Computer Science, Engineering and Technology, Copyright © 2000 CRC Press LLC.*

Author: CRC-A

## More information

Another definition.

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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 January 2005.

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

Cite this as:

Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "diameter", in
*Dictionary of Algorithms and Data Structures* [online], Vreda Pieterse and Paul E. Black, eds. 4 January 2005. (accessed TODAY)
Available from: https://www.nist.gov/dads/HTML/diameter.html