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FindIsomorphicSubgraph
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FindIsomorphicSubgraph

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finds a subgraph of g1 that is isomorphic to g2.

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finds at most n subgraphs.

Details and Options

Examples

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Basic Examples  (2)Summary of the most common use cases

Find a subgraph that is isomorphic to a graph:

In[2]:=2
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-4jniw5
Out[2]=2

Find all subgraphs that are isomorphic to a graph:

In[1]:=1
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-0zyzrb
Out[1]=1

Scope  (7)Survey of the scope of standard use cases

Specification  (4)

FindIsomorphicSubgraph works with undirected graphs:

In[1]:=1
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-898nmh
Out[1]=1

Directed graphs:

In[1]:=1
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-is1cya
Out[1]=1

Edge-tagged graphs:

In[1]:=1
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-4gv4ef
Out[1]=1

Weighted graphs:

In[1]:=1
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-f4y8wy
Out[1]=1

Enumeration  (3)

Find a subgraph that is isomorphic to a graph:

In[1]:=1
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-cvsbaj
Out[1]=1

Find at most two isomorphic subgraphs:

In[1]:=1
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-j7b3rh
Out[1]=1

Find all isomorphic subgraphs:

In[1]:=1
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-kewkuy
Out[1]=1

Applications  (2)Sample problems that can be solved with this function

Find a substructure of a chemical structure graph that is isomorphic to the given graph:

In[1]:=1
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-vmbg0r
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-em8rzn
Out[2]=2

Count the frequency of a motif in a directed family marriage network:

In[1]:=1
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-d6qgb1
In[2]:=2
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-izjjh9
In[3]:=3
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-k25tay
Out[3]=3

Highlight one instance of the motif:

In[4]:=4
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-d78tjw
Out[4]=4

Properties & Relations  (2)Properties of the function, and connections to other functions

Test whether a graph and a subgraph are isomorphic using IsomorphicSubgraphQ:

In[1]:=1
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-f4vgcx
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-fw1rxe
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-b8ah4f
Out[3]=3

Use FindSubgraphIsomorphism to find a subgraph isomorphism:

In[1]:=1
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https://wolfram.com/xid/0fohsmw01kcodjbdzfq-v3ae5
Out[1]=1
Wolfram Research (2021), FindIsomorphicSubgraph, Wolfram Language function, https://reference.wolfram.com/language/ref/FindIsomorphicSubgraph.html.
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Wolfram Research (2021), FindIsomorphicSubgraph, Wolfram Language function, https://reference.wolfram.com/language/ref/FindIsomorphicSubgraph.html.

Text

Wolfram Research (2021), FindIsomorphicSubgraph, Wolfram Language function, https://reference.wolfram.com/language/ref/FindIsomorphicSubgraph.html.

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Wolfram Research (2021), FindIsomorphicSubgraph, Wolfram Language function, https://reference.wolfram.com/language/ref/FindIsomorphicSubgraph.html.

CMS

Wolfram Language. 2021. "FindIsomorphicSubgraph." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FindIsomorphicSubgraph.html.

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Wolfram Language. 2021. "FindIsomorphicSubgraph." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FindIsomorphicSubgraph.html.

APA

Wolfram Language. (2021). FindIsomorphicSubgraph. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FindIsomorphicSubgraph.html

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Wolfram Language. (2021). FindIsomorphicSubgraph. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FindIsomorphicSubgraph.html

BibTeX

@misc{reference.wolfram_2025_findisomorphicsubgraph, author="Wolfram Research", title="{FindIsomorphicSubgraph}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/FindIsomorphicSubgraph.html}", note=[Accessed: 26-March-2025 ]}

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@misc{reference.wolfram_2025_findisomorphicsubgraph, author="Wolfram Research", title="{FindIsomorphicSubgraph}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/FindIsomorphicSubgraph.html}", note=[Accessed: 26-March-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_findisomorphicsubgraph, organization={Wolfram Research}, title={FindIsomorphicSubgraph}, year={2021}, url={https://reference.wolfram.com/language/ref/FindIsomorphicSubgraph.html}, note=[Accessed: 26-March-2025 ]}

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@online{reference.wolfram_2025_findisomorphicsubgraph, organization={Wolfram Research}, title={FindIsomorphicSubgraph}, year={2021}, url={https://reference.wolfram.com/language/ref/FindIsomorphicSubgraph.html}, note=[Accessed: 26-March-2025 ]}