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A directed graph is called strongly connected if there is a path from each vertex in the graph to every other vertex. The strongly connected components (SCC) of a directed graph are its maximal strongly connected subgraphs. If each strongly connected component is contracted to a single vertex, the resulting graph is a directed acyclic graph.

Kosaraju's algorithm, Tarjan's algorithm and Gabow's algorithm all efficiently compute the strongly connected components of a directed graph, but Tarjan's and Gabow's are favoured in practice since they require only one depth-first search rather than two.

- Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. Introduction to Algorithms, Second Edition. MIT Press and McGraw-Hill, 2001. ISBN 0-262-03293-7. Section 22.5, pp.552–557.

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Last updated on Friday October 10, 2008 at 17:38:15 PDT (GMT -0700)

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This article is licensed under the GNU Free Documentation License.

Last updated on Friday October 10, 2008 at 17:38:15 PDT (GMT -0700)

View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation

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