NIST

triconnected graph

(definition)

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 <rokicki@instantis.com>, 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


Go to the Dictionary of Algorithms and Data Structures home page.

If you have suggestions, corrections, or comments, please get in touch with Paul E. Black.

Entry modified 17 December 2004.
HTML page formatted Fri Mar 25 16:20:35 2011.

Cite this as:
Paul E. Black, "triconnected graph", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology. 17 December 2004. (accessed TODAY) Available from: http://www.nist.gov/dads/HTML/triconnectedGraph.html

to NIST home page