triconnected graph


Definition: A connected graph such that deleting any two vertices (and incident edges) results in a graph that is still connected.

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

Note: After Tomas Rokicki <>, 24 December 2002.

Informally, there are at least three independent paths from any vertex to any other vertex. After Paul M. Sant, 6 Sep 2000.

Author: PEB

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Entry modified 17 December 2004.
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Cite this as:
Paul E. Black, "triconnected graph", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 17 December 2004. (accessed TODAY) Available from: