GraphTheory
DrawAutomorphism
draw graph automorphisms
Calling Sequence
Parameters
Options
Description
Examples
Compatibility
DrawAutomorphism( G, automorphisms, opts )
G
-
a graph
automorphisms
(optional) automorphisms to visualize
opts
(optional) arguments as described below
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.
The DrawAutomorphism( G ) command draws the automorphisms of a given graph G.
The graph G may be directed or undirected, but must be unweighted.
Draw the generators of the automorphism group of the cycle graph on 5 vertices.
with⁡GraphTheory:
C5≔CycleGraph⁡5
C5≔Graph 1: an undirected graph with 5 vertices and 5 edge(s)
DrawAutomorphism⁡C5
Draw the generators of the automorphism group of the prism graph on 6 vertices, while specifying that the animation contain only 5 frames.
P3≔SpecialGraphs:-PrismGraph⁡3
P3≔Graph 2: an undirected graph with 6 vertices and 9 edge(s)
DrawAutomorphism⁡P3,frames=5
The GraphTheory[DrawAutomorphism] command was introduced in Maple 2017.
For more information on Maple 2017 changes, see Updates in Maple 2017.
See Also
GraphTheory[AutomorphismGroup]
GraphTheory[DrawGraph]
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