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DirectedEdges

is an option for Graph, GraphPlot, and related functions that specifies whether edges should be taken to be directed.

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DirectedEdges

DirectedEdges

is an option for Graph, GraphPlot, and related functions that specifies whether edges should be taken to be directed.

Details

Examples

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Basic Examples  (5)

By default rules are taken to be directed edges:

Wolfram Language code: Graph[{1 -> 2, 2 -> 3, 3 -> 1}]

Specify undirected edges:

Wolfram Language code: Graph[{1 -> 2, 2 -> 3, 3 -> 1}, DirectedEdges -> False]

Obtain a CycleGraph with directed edges:

Wolfram Language code: CycleGraph[6, DirectedEdges -> True]

Create a directed graph from a symmetric adjacency matrix:

Wolfram Language code: AdjacencyGraph[(| | | | | - | - | - | | 0 | 1 | 1 | | 1 | 0 | 1 | | 1 | 1 | 0 |), DirectedEdges -> True]

Show edges as arrows in GraphPlot:

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

Do not show edges as arrows in LayeredGraphPlot:

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

Scope  (5)

DirectedEdges is an option to special graph constructors including PathGraph:

Wolfram Language code: PathGraph[Range[4], DirectedEdges -> True]

CompleteGraph, GridGraph, and ButterflyGraph:

Wolfram Language code: {CompleteGraph[5, DirectedEdges -> True], GridGraph[{2, 3}, DirectedEdges -> True], ButterflyGraph[2, DirectedEdges -> True]}

CycleGraph, StarGraph, and WheelGraph:

Wolfram Language code: {CycleGraph[7, DirectedEdges -> True], StarGraph[6, DirectedEdges -> True], WheelGraph[6, DirectedEdges -> True]}

CompleteKaryTree and KaryTree:

Wolfram Language code: {CompleteKaryTree[3, 2, DirectedEdges -> True], KaryTree[6, 3, DirectedEdges -> True]}

DirectedEdges->True prevents AdjacencyGraph from creating undirected graphs:

Wolfram Language code: AdjacencyGraph[(| | | | | - | - | - | | 0 | 1 | 1 | | 1 | 0 | 1 | | 1 | 1 | 0 |), DirectedEdges -> True]

WeightedAdjacencyGraph:

Wolfram Language code: WeightedAdjacencyGraph[(| | | | | | - | - | - | - | | ∞ | 1 | 2 | ∞ | | 1 | ∞ | 1 | 1 | | 2 | 1 | ∞ | 3 | | ∞ | 1 | 3 | ∞ |), DirectedEdges -> True]

DirectedEdges works with RandomGraph and UniformGraphDistribution:

Wolfram Language code: RandomGraph[UniformGraphDistribution[5, 6], DirectedEdges -> True]

BernoulliGraphDistribution:

Wolfram Language code: RandomGraph[BernoulliGraphDistribution[5, 0.6], DirectedEdges -> True]

By default, edges are shown as lines in GraphPlot and TreePlot:

Wolfram Language code: GraphPlot[{1 -> 2, 2 -> 3, 3 -> 4, 4 -> 1, 2 -> 4}]

Show edges as arrows:

Wolfram Language code: GraphPlot[{1 -> 2, 2 -> 3, 3 -> 4, 4 -> 1, 2 -> 4}, DirectedEdges -> True]

By default, edges are shown as arrows in LayeredGraphPlot:

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

This shows edges as lines:

Wolfram Language code: LayeredGraphPlot[{1 -> 2, 2 -> 3, 3 -> 4, 1 -> 4, 2 -> 5}, DirectedEdges -> False]
Wolfram Research (2007), DirectedEdges, Wolfram Language function, https://reference.wolfram.com/language/ref/DirectedEdges.html.

Text

Wolfram Research (2007), DirectedEdges, Wolfram Language function, https://reference.wolfram.com/language/ref/DirectedEdges.html.

CMS

Wolfram Language. 2007. "DirectedEdges." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/DirectedEdges.html.

APA

Wolfram Language. (2007). DirectedEdges. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/DirectedEdges.html

BibTeX

@misc{reference.wolfram_2026_directededges, author="Wolfram Research", title="{DirectedEdges}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/DirectedEdges.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_directededges, organization={Wolfram Research}, title={DirectedEdges}, year={2007}, url={https://reference.wolfram.com/language/ref/DirectedEdges.html}, note=[Accessed: 13-June-2026]}