VertexComponent

VertexComponent[g,{v1,v2,}]

gives the vertices in the graph g that have a path to at least one of v1, v2, .

VertexComponent[g,{v1,v2,},k]

gives the vertices with a path to at least one of v1, v2, of at most length k.

VertexComponent[g,{v1,v2,},{k}]

gives the vertices at length exactly k.

VertexComponent[{vw,},]

uses rules vw to specify the graph g.

Details

  • VertexComponent works for any undirected graph object.
  • VertexComponent works with undirected graphs, directed graphs, multigraphs, and mixed graphs.

Examples

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Basic Examples  (1)

Find the component of a vertex in a graph:

Highlight the component of a vertex:

Scope  (8)

VertexComponent works with undirected graphs:

Directed graphs:

Multigraphs:

Mixed graphs:

Use rules to specify the graph:

Use patterns to select a subset of vertices:

Find the component connected to a vertex by a path of at most length 2 in a graph:

VertexComponent works with large graphs:

Introduced in 2010
 (8.0)
 |
Updated in 2014
 (10.0)
2015
 (10.3)
2020
 (12.1)