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VertexInComponent[g,{v1,v2,…},k]

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

VertexInComponent[g,{v1,v2,…},{k}]

gives the vertices at length exactly k.

VertexInComponent[{vw,…},…]

uses rules vw to specify the graph g.

Details
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Basic Examples  
Scope  
Properties & Relations  
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VertexInComponent

VertexInComponent[g,{v1,v2,…},k]

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

VertexInComponent[g,{v1,v2,…},{k}]

gives the vertices at length exactly k.

VertexInComponent[{vw,…},…]

uses rules vw to specify the graph g.

Details

Examples

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Basic Examples  (1)

Find the in-component of a vertex:

Wolfram Language code: g = [image];
Wolfram Language code: VertexInComponent[g, {3}]

Highlight the in-component of a vertex:

Wolfram Language code: HighlightGraph[g, %]

Scope  (8)

VertexInComponent works with undirected graphs:

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

Directed graphs:

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

Multigraphs:

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

Mixed graphs:

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

Use rules to specify the graph:

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

Use patterns to select a subset of vertices:

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

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

Wolfram Language code: VertexInComponent[[image], 6, 2]

VertexInComponent works with large graphs:

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

Properties & Relations  (1)

Use VertexOutComponent to find the out-component for directed graphs:

Wolfram Language code: VertexOutComponent[[image], {3}]
Wolfram Research (2010), VertexInComponent, Wolfram Language function, https://reference.wolfram.com/language/ref/VertexInComponent.html (updated 2020).

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2026_vertexincomponent, author="Wolfram Research", title="{VertexInComponent}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/VertexInComponent.html}", note=[Accessed: 15-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_vertexincomponent, organization={Wolfram Research}, title={VertexInComponent}, year={2020}, url={https://reference.wolfram.com/language/ref/VertexInComponent.html}, note=[Accessed: 15-June-2026]}