strongly connected graph

(definition)

Definition: A directed graph that has a path from each vertex to every other vertex.

Formal Definition: A directed graph D=(V, E) such that for all pairs of vertices u, v ∈ V, there is a path from u to v and from v to u.

See also connected graph, strongly connected component, bridge.

Note: From Algorithms and Theory of Computation Handbook, page 6-21, Copyright © 1999 by CRC Press LLC. Appearing in the Dictionary of Computer Science, Engineering and Technology, Copyright © 2000 CRC Press LLC.

Author: CRC-A

Implementation

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

Entry modified 17 December 2004.
HTML page formatted Tue Dec 6 16:16:33 2011.

Cite this as:
Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "strongly connected graph", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology. 17 December 2004. (accessed TODAY) Available from: http://www.nist.gov/dads/HTML/stronglyConnectedGraph.html