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 E. Black.
Entry modified 19 April 2004.
HTML page formatted Fri Mar 25 16:20:34 2011.
Cite this as:
Paul M. Sant, "k-connected graph", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology. 19 April 2004. (accessed TODAY) Available from: http://www.nist.gov/dads/HTML/kconnectedGraph.html