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 Black.

Entry modified 2 November 2020.
HTML page formatted Mon Nov 2 12:36:42 2020.

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. 2 November 2020. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/stronglyConnectedGraph.html