WOLFRAM

Wolfram Language & System Documentation Center

VertexOutComponent[g,{v1,v2,…}]

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

VertexOutComponent[g,{v1,v2,…},k]

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

VertexOutComponent[g,{v1,v2,…},{k}]

gives the vertices at length exactly k.

VertexOutComponent[{vw,…},…]

uses rules vw to specify the graph g.

Details
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Properties & Relations  
See Also
Related Guides
History
Cite this Page

VertexOutComponent

VertexOutComponent[g,{v1,v2,…}]

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

VertexOutComponent[g,{v1,v2,…},k]

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

VertexOutComponent[g,{v1,v2,…},{k}]

gives the vertices at length exactly k.

VertexOutComponent[{vw,…},…]

uses rules vw to specify the graph g.

Details

Examples

open all close all

Basic Examples  (1)

Find the out-component of a vertex:

Wolfram Language code: g = [image];
Wolfram Language code: VertexOutComponent[g, {4}]

Highlight the out-component of a vertex:

Wolfram Language code: HighlightGraph[g, %]

Scope  (8)

VertexOutComponent works with undirected graphs:

Wolfram Language code: VertexOutComponent[[image], {1}]

Directed graphs:

Wolfram Language code: VertexOutComponent[[image], {3}]

Multigraphs:

Wolfram Language code: VertexOutComponent[[image], {2}]

Mixed graphs:

Wolfram Language code: VertexOutComponent[[image], {2}]

Use rules to specify the graph:

Wolfram Language code: VertexOutComponent[{1 -> 2, 1 -> 5, 2 -> 3, 3 -> 4, 4 -> 5, 6 -> 3, 4 -> 6}, {3}]

Use patterns to select a subset of vertices:

Wolfram Language code: VertexOutComponent[[image], _ ? EvenQ]

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

Wolfram Language code: VertexOutComponent[[image], 3, 2]

VertexOutComponent works with large graphs:

Wolfram Language code: g = GridGraph[{10, 10, 10, 10}];
Wolfram Language code: VertexOutComponent[g, {1}] //Length// Timing

Properties & Relations  (1)

Use VertexInComponent to find the in-component for directed graphs:

Wolfram Language code: VertexInComponent[[image], {6}]
Wolfram Research (2010), VertexOutComponent, Wolfram Language function, https://reference.wolfram.com/language/ref/VertexOutComponent.html (updated 2020).

Text

Wolfram Research (2010), VertexOutComponent, Wolfram Language function, https://reference.wolfram.com/language/ref/VertexOutComponent.html (updated 2020).

CMS

Wolfram Language. 2010. "VertexOutComponent." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2020. https://reference.wolfram.com/language/ref/VertexOutComponent.html.

APA

Wolfram Language. (2010). VertexOutComponent. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/VertexOutComponent.html

BibTeX

@misc{reference.wolfram_2026_vertexoutcomponent, author="Wolfram Research", title="{VertexOutComponent}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/VertexOutComponent.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_vertexoutcomponent, organization={Wolfram Research}, title={VertexOutComponent}, year={2020}, url={https://reference.wolfram.com/language/ref/VertexOutComponent.html}, note=[Accessed: 13-June-2026]}