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ReverseGraph[g]

gives the reverse graph of the directed graph g.

ReverseGraph[{vw,…}]

uses rules vw to specify the graph g.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Properties & Relations  
See Also
Related Guides
History
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ReverseGraph

ReverseGraph[g]

gives the reverse graph of the directed graph g.

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)

The reverse graph of a directed graph:

Wolfram Language code: ReverseGraph[[image]]

Scope  (6)

ReverseGraph does not affect undirected graphs:

Wolfram Language code: ReverseGraph[[image]]

ReverseGraph works with directed graphs:

Wolfram Language code: ReverseGraph[[image]]

Multigraphs:

Wolfram Language code: ReverseGraph[[image]]

Mixed graph:

Wolfram Language code: ReverseGraph[[image]]

Use rules to specify the graph:

Wolfram Language code: ReverseGraph[{1 -> 3, 2 -> 1, 3 -> 6, 4 -> 6, 1 -> 5, 5 -> 4, 6 -> 1}]

ReverseGraph works with large graphs:

Wolfram Language code: g = GridGraph[{10, 10, 10, 10}, DirectedEdges -> True];
Wolfram Language code: ReverseGraph[g];//Timing

Properties & Relations  (3)

ReverseGraph has the same VertexList as the original graph:

Wolfram Language code: VertexList[[image]] == VertexList[ReverseGraph[[image]]]

ReverseGraph is equivalent to reversing edges:

Wolfram Language code: g = [image];
Wolfram Language code: Graph[VertexList[g], Reverse /@ EdgeList[g], AbsoluteOptions[g, VertexCoordinates], EdgeStyle -> Arrowheads[Small]]

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

Wolfram Language code: g = [image];
Wolfram Language code: AdjacencyMatrix[ReverseGraph[g]] == AdjacencyMatrix[g]
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).

CMS

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

BibTeX

@misc{reference.wolfram_2026_reversegraph, author="Wolfram Research", title="{ReverseGraph}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/ReverseGraph.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_reversegraph, organization={Wolfram Research}, title={ReverseGraph}, year={2015}, url={https://reference.wolfram.com/language/ref/ReverseGraph.html}, note=[Accessed: 13-June-2026]}