NIST

biconnected graph

(definition)

Definition: A connected graph that is not broken into disconnected pieces by deleting any single vertex (and incident edges).

See also cut vertex, biconnected component, triconnected graph, k-connected graph.

Note: Informally, there are at least two independent paths from any vertex to any other vertex.

After Algorithms and Theory of Computation Handbook, page 6-6, Copyright © 1999 by CRC Press LLC.

Author: PEB


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Entry modified Fri Dec 17 11:48:19 2004.
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Cite this as:
Paul E. Black, "biconnected graph", from Dictionary of Algorithms and Data Structures, Paul E. Black, ed., NIST.
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