NIST

k-connected graph

(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


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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