(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

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Entry modified 17 December 2004.

HTML page formatted Mon Feb 2 13:10:40 2015.

Cite this as:

Paul E. Black, "triconnected graph", in
*Dictionary of Algorithms and Data Structures* [online], Vreda Pieterse and Paul E. Black, eds. 17 December 2004. (accessed TODAY)
Available from: http://www.nist.gov/dads/HTML/triconnectedGraph.html