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.
If you have suggestions, corrections, or comments, please get in touch with Paul Black.
Entry modified 19 April 2004.
HTML page formatted Fri Feb 23 10:06:07 2018.
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: https://www.nist.gov/dads/HTML/kconnectedGraph.html