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ReverseGraph
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ReverseGraph

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gives the reverse graph of the directed graph g.

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ReverseGraph[{vw,…}]

uses rules vw to specify the graph g.

Details and Options

  • ReverseGraph is also known as transpose graph or converse graph.
  • The reverse graph has the same vertices as g and the reverse edges.
  • ReverseGraph works with directed graphs, multigraphs, and mixed graphs.

Examples

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

The reverse graph of a directed graph:

In[1]:=1
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https://wolfram.com/xid/0bdpqplei-09unip
Out[1]=1

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

ReverseGraph does not affect undirected graphs:

In[1]:=1
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https://wolfram.com/xid/0bdpqplei-ko0f9u
Out[1]=1

ReverseGraph works with directed graphs:

In[1]:=1
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https://wolfram.com/xid/0bdpqplei-u9zmr
Out[1]=1

Multigraphs:

In[1]:=1
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https://wolfram.com/xid/0bdpqplei-d7vl1o
Out[1]=1

Mixed graph:

In[1]:=1
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https://wolfram.com/xid/0bdpqplei-rlhrjj
Out[1]=1

Use rules to specify the graph:

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

ReverseGraph works with large graphs:

In[1]:=1
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https://wolfram.com/xid/0bdpqplei-s6bxy4
In[2]:=2
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https://wolfram.com/xid/0bdpqplei-opf29b
Out[2]=2

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

ReverseGraph has the same VertexList as the original graph:

In[1]:=1
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https://wolfram.com/xid/0bdpqplei-lhd5f8
Out[1]=1

ReverseGraph is equivalent to reversing edges:

In[1]:=1
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https://wolfram.com/xid/0bdpqplei-beq4ma
In[2]:=2
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https://wolfram.com/xid/0bdpqplei-fj4gkw
Out[2]=2

The adjacency matrix of a reverse graph is the transpose of the matrix of the original graph:

In[1]:=1
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https://wolfram.com/xid/0bdpqplei-48bxw
In[2]:=2
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https://wolfram.com/xid/0bdpqplei-ixjkkx
Out[2]=2
Wolfram Research (2010), ReverseGraph, Wolfram Language function, https://reference.wolfram.com/language/ref/ReverseGraph.html (updated 2015).
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Wolfram Research (2010), ReverseGraph, Wolfram Language function, https://reference.wolfram.com/language/ref/ReverseGraph.html (updated 2015).

Text

Wolfram Research (2010), ReverseGraph, Wolfram Language function, https://reference.wolfram.com/language/ref/ReverseGraph.html (updated 2015).

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Wolfram Research (2010), ReverseGraph, Wolfram Language function, https://reference.wolfram.com/language/ref/ReverseGraph.html (updated 2015).

CMS

Wolfram Language. 2010. "ReverseGraph." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2015. https://reference.wolfram.com/language/ref/ReverseGraph.html.

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Wolfram Language. 2010. "ReverseGraph." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2015. https://reference.wolfram.com/language/ref/ReverseGraph.html.

APA

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

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

BibTeX

@misc{reference.wolfram_2025_reversegraph, author="Wolfram Research", title="{ReverseGraph}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/ReverseGraph.html}", note=[Accessed: 08-July-2025 ]}

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@misc{reference.wolfram_2025_reversegraph, author="Wolfram Research", title="{ReverseGraph}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/ReverseGraph.html}", note=[Accessed: 08-July-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_reversegraph, organization={Wolfram Research}, title={ReverseGraph}, year={2015}, url={https://reference.wolfram.com/language/ref/ReverseGraph.html}, note=[Accessed: 08-July-2025 ]}

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@online{reference.wolfram_2025_reversegraph, organization={Wolfram Research}, title={ReverseGraph}, year={2015}, url={https://reference.wolfram.com/language/ref/ReverseGraph.html}, note=[Accessed: 08-July-2025 ]}