(definition)
Definition: A connected graph such that deleting any k-1 vertices (and incident edges) results in a graph that is still connected.
See also biconnected graph, triconnected graph, cut vertex.
Note: Informally, there are at least k independent paths from any vertex to any other vertex.
Author: PMS
If you have suggestions, corrections, or comments, please get in touch with Paul Black.
Entry modified 19 April 2004.
HTML page formatted Mon Feb 2 13:10:39 2015.
Cite this as:
Paul M. Sant, "k-connected graph", in
Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 19 April 2004. (accessed TODAY)
Available from: http://www.nist.gov/dads/HTML/kconnectedGraph.html