LayeredGraph3D

LayeredGraph3D[g]

creates a graph with vertices and edges from the graph g represented as a 3D layered plot.

LayeredGraph3D[{e₁,e₂,…}]

creates a graph with edges e_j represented as a 3D layered plot.

LayeredGraph3D[{…,w[e_i],…}]

creates a graph with edges e_i with features defined by the symbolic wrapper w.

LayeredGraph3D[…,vpos]

places the dominant vertex v in the plot at position pos.

Details and Options

LayeredGraph3D generates a Graph object and displays it in a notebook as a 3D layered plot of the graph.
LayeredGraph3D supports the same vertices, edges and wrappers as Graph.

LayeredGraph3D by default puts "dominant" vertices at the top and vertices lower in the "hierarchy" progressively further down.
LayeredGraph3D[g,pos] places the dominant vertices at position pos.
Possible positions pos are: Top, Bottom, Left, Right.
By default, LayeredGraph3D places each dominant vertex at the top.
LayeredGraph3D has the same options as Graph.

Examples

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Basic Examples (5)

A 3D layered graph:

Create a 3D layered graph specified by edge rules:

Create a 3D layered graph specified by its adjacency matrix:

Create a 3D layered graph with different orientation from the default:

Place the dominant vertex in the graph at a position:

Scope (9)

Graph Specification (6)

Specify a 3D layered graph using a graph:

Create a 3D undirected layered graph using  characters; enter the character as ue:

Create a 3D directed layered graph using  characters; enter the character as de:

Specify a 3D layered graph using a rule list:

Specify a 3D layered graph using a dense adjacency matrix:

Specify a 3D layered graph using a sparse adjacency matrix:

Graph Styling (3)

Give labels for some edges:

Give vertex labels:

Draw with different orientations:

Options (9)

DataRange (1)

Specify the range of vertex coordinates:

DirectedEdges (2)

By default, a 3D directed layered graph is generated when giving a list of rules:

Use DirectedEdges->False to interpret rules as undirected edges:

GraphLayers (2)

Draw each layer:

Draw the first and last layers:

GraphLayerStyle (4)

Specify the overall style of layers:

Alternate between red and blue colors on layers:

Use gradient colors from ColorData:

Use indexed colors from ColorData:

Applications (2)

A food chain:

The abstract proof network:

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LayeredGraph3D

Details and Options

Examples

Basic Examples (5)