LambdaComponents

LambdaComponents[g]

gives the lambda components of the graph g.

LambdaComponents[g,{v1,v2,}]

gives the lambda components that include at least one of the vertices {v1,v2,}.

LambdaComponents[{vw,},]

uses rules vw to specify the graph g.

Details

  • LambdaComponents is also known as a lambda set.
  • A lambda component is a set of vertices that have more edge-independent paths connecting them to each other than to outside vertices.
  • LambdaComponents returns a list of components {c1,c2,}, where each component ci is given as a list of vertices.
  • LambdaComponents[g] is equivalent to LambdaComponents[g,VertexList[g]].
  • LambdaComponents works with undirected graphs, directed graphs, multigraphs, and mixed graphs.

Examples

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Basic Examples  (1)

Give the lambda components for a graph:

In[1]:=
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Out[1]=

Scope  (6)

Applications  (2)

Properties & Relations  (2)

See Also

LuccioSamiComponents  ConnectedComponents  KCoreComponents

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