Enable JavaScript to interact with content and submit forms on Wolfram websites. Learn how

Wolfram Language & System Documentation Center

DirectedEdge

See Also
- UndirectedEdge
- Graph
- EdgeList
- EdgeCount
- Rule
- EdgeTaggedGraph
- IndexEdgeTaggedGraph
- EdgeTags
- Characters
- \[DirectedEdge]
Related Guides
- See Also
  - UndirectedEdge
  - Graph
  - EdgeList
  - EdgeCount
  - Rule
  - EdgeTaggedGraph
  - IndexEdgeTaggedGraph
  - EdgeTags
  - Characters
  - \[DirectedEdge]
- Related Guides

DirectedEdge

DirectedEdge[u,v] or uv

represents a directed edge from u to v.

DirectedEdge[u,v,t] or uv

represents a directed edge from u to v with tag t.

Details

DirectedEdge is also known as arc or directed link.
DirectedEdge[u,v] can be input as uv. The character  is entered as de or \[DirectedEdge].
DirectedEdge[u,v,t] can be input as uv. An empty template can entered as tde, and moves the cursor to the overscript position.

Examples

open all close all

Basic Examples (4)

Build a graph with directed edges:

List of edges:

Use de to enter  directly:

Style and label individual edges:

StandardForm formatting:

Scope (5)

Use wrappers to specify edge properties, including style:

Labels:

Interactive behavior:

As well as new ones:

Use DirectedEdge to specify individual edges for options, including style:

Labels:

Use a list of edges to indicate which edges to highlight:

A subgraph:

Use edge patterns to select and count edges:

Properties & Relations (3)

Use DirectedEdge to construct directed graphs:

Tree graphs:

Path graphs:

Inside graph constructors, Rule[a,b] is converted to DirectedEdge[a,b]:

The adjacency matrix of a directed graph can be unsymmetric:

Top