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.


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

- VertexOutComponent works for any directed graph object.
- VertexOutComponent works with undirected graphs, directed graphs, multigraphs, and mixed graphs.

Examples
open all close allScope (8)
VertexOutComponent works with undirected graphs:
Use rules to specify the graph:
Use patterns to select a subset of vertices:
Find the out-component connected to a vertex by a path of at most length 2 in a graph:
VertexOutComponent works with large graphs:
Properties & Relations (1)
Use VertexInComponent to find the in-component for directed graphs:
Related Guides
History
Introduced in 2010 (8.0) | Updated in 2014 (10.0) ▪ 2015 (10.3) ▪ 2020 (12.1)
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_2025_vertexoutcomponent, author="Wolfram Research", title="{VertexOutComponent}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/VertexOutComponent.html}", note=[Accessed: 13-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_vertexoutcomponent, organization={Wolfram Research}, title={VertexOutComponent}, year={2020}, url={https://reference.wolfram.com/language/ref/VertexOutComponent.html}, note=[Accessed: 13-August-2025]}