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DirectedGraphQ

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yields True if the graph g is a directed graph and False otherwise.

Details

  • A graph is directed if every edge in the graph is directed.

Examples

open allclose all

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

Test whether a graph is directed:

In[1]:=1
✖
https://wolfram.com/xid/0b0k512h90z-cx5ig0
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0b0k512h90z-fbowek
Out[2]=2

DirectedGraphQ gives False for inputs that are not directed graphs:

In[1]:=1
✖
https://wolfram.com/xid/0b0k512h90z-blilb2
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0b0k512h90z-i269gu
Out[2]=2

Scope  (6)Survey of the scope of standard use cases

DirectedGraphQ works with undirected graphs:

In[3]:=3
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https://wolfram.com/xid/0b0k512h90z-fffujv
Out[3]=3

Directed graphs:

In[1]:=1
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https://wolfram.com/xid/0b0k512h90z-gx301e
Out[1]=1

Multigraphs:

In[1]:=1
✖
https://wolfram.com/xid/0b0k512h90z-uvnf7h
Out[1]=1

Mixed graphs:

In[1]:=1
✖
https://wolfram.com/xid/0b0k512h90z-5geyu
Out[1]=1

DirectedGraphQ gives False for anything that is not a directed graph:

In[1]:=1
✖
https://wolfram.com/xid/0b0k512h90z-3l2bwe
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0b0k512h90z-i52fbz
Out[2]=2

DirectedGraphQ works with large graphs:

In[1]:=1
✖
https://wolfram.com/xid/0b0k512h90z-puo1px
In[2]:=2
✖
https://wolfram.com/xid/0b0k512h90z-l0u0o
Out[2]=2

Properties & Relations  (3)Properties of the function, and connections to other functions

A directed graph can have self-loops:

In[1]:=1
✖
https://wolfram.com/xid/0b0k512h90z-c23ea
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0b0k512h90z-fwmduq
Out[2]=2

A nonsymmetric adjacency matrix corresponds to a directed graph:

In[1]:=1
✖
https://wolfram.com/xid/0b0k512h90z-bhrtvw
In[2]:=2
✖
https://wolfram.com/xid/0b0k512h90z-ebo5iw
Out[2]=2
In[3]:=3
✖
https://wolfram.com/xid/0b0k512h90z-b937kg
Out[3]=3

The incidence matrix of a directed graph has at least one entry that is -1:

In[1]:=1
✖
https://wolfram.com/xid/0b0k512h90z-d0mxjw
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0b0k512h90z-e45b43
Out[2]=2
In[3]:=3
✖
https://wolfram.com/xid/0b0k512h90z-c9l902

Possible Issues  (1)Common pitfalls and unexpected behavior

DirectedGraphQ gives False for non-explicit graphs:

In[1]:=1
✖
https://wolfram.com/xid/0b0k512h90z-iu6w07
Out[1]=1
Wolfram Research (2010), DirectedGraphQ, Wolfram Language function, https://reference.wolfram.com/language/ref/DirectedGraphQ.html.
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Wolfram Research (2010), DirectedGraphQ, Wolfram Language function, https://reference.wolfram.com/language/ref/DirectedGraphQ.html.

Text

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

✖
Wolfram Research (2010), DirectedGraphQ, Wolfram Language function, https://reference.wolfram.com/language/ref/DirectedGraphQ.html.

CMS

Wolfram Language. 2010. "DirectedGraphQ." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/DirectedGraphQ.html.

✖
Wolfram Language. 2010. "DirectedGraphQ." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/DirectedGraphQ.html.

APA

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

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

BibTeX

@misc{reference.wolfram_2025_directedgraphq, author="Wolfram Research", title="{DirectedGraphQ}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/DirectedGraphQ.html}", note=[Accessed: 26-March-2025 ]}

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@misc{reference.wolfram_2025_directedgraphq, author="Wolfram Research", title="{DirectedGraphQ}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/DirectedGraphQ.html}", note=[Accessed: 26-March-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_directedgraphq, organization={Wolfram Research}, title={DirectedGraphQ}, year={2010}, url={https://reference.wolfram.com/language/ref/DirectedGraphQ.html}, note=[Accessed: 26-March-2025 ]}

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@online{reference.wolfram_2025_directedgraphq, organization={Wolfram Research}, title={DirectedGraphQ}, year={2010}, url={https://reference.wolfram.com/language/ref/DirectedGraphQ.html}, note=[Accessed: 26-March-2025 ]}