EdgeConnectivity

EdgeConnectivity[g]
gives the edge connectivity of the graph g.

EdgeConnectivity[g, s, t]
gives the s-t edge connectivity of the graph g.

Details and OptionsDetails and Options

  • The edge connectivity of a graph g is the smallest number of edges whose deletion from g disconnects g.
  • The s-t edge connectivity is the smallest number of edges whose deletion from g disconnects g, with s and t in two different connected components.
  • For weighted graphs, EdgeConnectivity gives the smallest sum of edge weights.
  • For a disconnected graph, EdgeConnectivity will return .
  • The following option can be given:
  • EdgeWeightAutomaticedge weight for each edge
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