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GraphTheory

  

DrawAutomorphism

  

draw graph automorphisms

 

Calling Sequence

Parameters

Options

Description

Examples

Compatibility

Calling Sequence

DrawAutomorphism( G, automorphisms, opts )

Parameters

G

-

a graph

automorphisms

-

(optional) automorphisms to visualize

opts

-

(optional) arguments as described below

Options

• 

frames=posint

  

The number of frames to generate in the resulting animation. More frames will result in a smoother animation but will generate a larger plot structure.

• 

maxcolumns=posint

  

The maximum number of columns to include in a table of animations, if multiple automorphisms are being illustrated. Default is 4.

• 

maxrows=posint

  

The maximum number of rows to include in a table of animations, if multiple automorphisms are being illustrated. Default is infinity.

• 

trivialwarning=truefalse

  

Whether or not to display a warning message when the automorphism group is trivial. In this case, the result of DrawAutomorphism(G) will be an empty table as there are no nontrivial automorphisms to show. The default is true.

• 

DrawAutomorphism also supports all options supported by DrawGraph with the exception of dimension.

Description

• 

The DrawAutomorphism( G ) command draws the automorphisms of a given graph G.

• 

The graph G may be directed or undirected, but must be unweighted.

Examples

Draw the generators of the automorphism group of the cycle graph on 5 vertices.

withGraphTheory:

C5CycleGraph5

C5Graph 1: an undirected unweighted graph with 5 vertices and 5 edge(s)

(1)

DrawAutomorphismC5

Draw the generators of the automorphism group of the prism graph on 6 vertices, while specifying that the animation contain only 5 frames.

P3SpecialGraphs:-PrismGraph3

P3Graph 2: an undirected unweighted graph with 6 vertices and 9 edge(s)

(2)

DrawAutomorphismP3,frames=5

Compatibility

• 

The GraphTheory[DrawAutomorphism] command was introduced in Maple 2017.

• 

For more information on Maple 2017 changes, see Updates in Maple 2017.

See Also

GraphTheory

GraphTheory[AutomorphismGroup]

GraphTheory[DrawGraph]