(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
If you have suggestions, corrections, or comments, please get in touch with Paul Black.
Entry modified 3 September 2019.
HTML page formatted Fri Sep 6 15:26:10 2019.
Cite this as:
Paul M. Sant, "k-connected graph", in
Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 3 September 2019. (accessed TODAY)
Available from: https://www.nist.gov/dads/HTML/kconnectedGraph.html