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VertexInComponent
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VertexInComponent

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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.

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VertexInComponent[g,{v1,v2,…},{k}]

gives the vertices at length exactly k.

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VertexInComponent[{vw,…},…]

uses rules vw to specify the graph g.

Details

Examples

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Basic Examples  (1)Summary of the most common use cases

Find the in-component of a vertex:

In[2]:=2
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https://wolfram.com/xid/0ywrb6dlukqa-8risxi
In[3]:=3
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https://wolfram.com/xid/0ywrb6dlukqa-rdo0e7
Out[3]=3

Highlight the in-component of a vertex:

In[4]:=4
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https://wolfram.com/xid/0ywrb6dlukqa-pjhv9j
Out[4]=4

Scope  (8)Survey of the scope of standard use cases

VertexInComponent works with undirected graphs:

In[1]:=1
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https://wolfram.com/xid/0ywrb6dlukqa-3jjvc1
Out[1]=1

Directed graphs:

In[1]:=1
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https://wolfram.com/xid/0ywrb6dlukqa-zg3ksa
Out[1]=1

Multigraphs:

In[1]:=1
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https://wolfram.com/xid/0ywrb6dlukqa-w3859o
Out[1]=1

Mixed graphs:

In[1]:=1
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https://wolfram.com/xid/0ywrb6dlukqa-vbiq94
Out[1]=1

Use rules to specify the graph:

In[1]:=1
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https://wolfram.com/xid/0ywrb6dlukqa-bndh30
Out[1]=1

Use patterns to select a subset of vertices:

In[1]:=1
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https://wolfram.com/xid/0ywrb6dlukqa-bp7bob
Out[1]=1

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

In[1]:=1
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https://wolfram.com/xid/0ywrb6dlukqa-imtbi
Out[1]=1

VertexInComponent works with large graphs:

In[1]:=1
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https://wolfram.com/xid/0ywrb6dlukqa-wd8zhr
In[2]:=2
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https://wolfram.com/xid/0ywrb6dlukqa-gopv0s
Out[2]=2

Properties & Relations  (1)Properties of the function, and connections to other functions

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

In[5]:=5
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https://wolfram.com/xid/0ywrb6dlukqa-nzzif9
Out[5]=5
Wolfram Research (2010), VertexInComponent, Wolfram Language function, https://reference.wolfram.com/language/ref/VertexInComponent.html (updated 2020).
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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).

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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.

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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

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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: 02-June-2025 ]}

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@misc{reference.wolfram_2025_vertexincomponent, author="Wolfram Research", title="{VertexInComponent}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/VertexInComponent.html}", note=[Accessed: 02-June-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: 02-June-2025 ]}

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@online{reference.wolfram_2025_vertexincomponent, organization={Wolfram Research}, title={VertexInComponent}, year={2020}, url={https://reference.wolfram.com/language/ref/VertexInComponent.html}, note=[Accessed: 02-June-2025 ]}