k-connected graph


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

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Entry modified 19 April 2004.
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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: