FindEdgeCut

FindEdgeCut[g]

finds a smallest edge cut of the graph g.

FindEdgeCut[g,s,t]

finds a smallest s-t edge cut of the graph g.

FindEdgeCut[{vw,…},…]

uses rules vw to specify the graph g.

Details and Options

  • An edge cut of a graph g is a set of edges whose deletion from g disconnects g.
  • The s-t edge cut is a list of edges who deletion from g disconnects g with s and t in two different connected components.
  • For weighted graphs, FindEdgeCut gives an edge cut with the smallest sum of edge weights.
  • For a disconnected graph, FindEdgeCut will return an empty list {}.
  • The following option can be given:
  • EdgeWeightAutomaticedge weight for each edge

Examples

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Basic Examples  (2)

Find a smallest edge cut:

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Highlight an edge cut:

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Find a smallest edge cut between two vertices:

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Scope  (8)

Options  (1)

Applications  (1)

Properties & Relations  (4)

Introduced in 2012
(9.0)
|
Updated in 2015
(10.3)