Definition: (1) The smallest number of vertices whose deletion causes a connected graph to not be connected. (2) For a pair of vertices s and t in a graph, the smallest number of vertices whose deletion will separate s from t.
See also edge connectivity.
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Entry modified 2 September 2014.
HTML page formatted Fri Feb 23 10:06:08 2018.
Cite this as:
Gopinath Srinivasan, "vertex connectivity", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 2 September 2014. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/vertexConnectivity.html