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.
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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