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:

Highlight the in-component of a vertex:

Scope  (8)

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

VertexInComponent works with large graphs:

Properties & Relations  (1)

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

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_2025_vertexincomponent, author="Wolfram Research", title="{VertexInComponent}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/VertexInComponent.html}", note=[Accessed: 21-February-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_vertexincomponent, organization={Wolfram Research}, title={VertexInComponent}, year={2020}, url={https://reference.wolfram.com/language/ref/VertexInComponent.html}, note=[Accessed: 21-February-2025 ]}