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.
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Entry modified 17 December 2004.
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Cite this as:
Paul E. Black, "biconnected graph", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 17 December 2004. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/biconnectedGraph.html