returns a Cayley graph representation of group.
Details and Options
- CayleyGraph[group] returns a graph object with head Graph.
- A Cayley graph is both a description of a group and of the generators used to describe that group. The generators are those returned by the function GroupGenerators.
- Group elements are represented as vertices, and generators are represented as directed edges. An edge from a group element g1 to an element g2 means that the product of g1 with the generator of the edge gives g2.
- Vertices are numbered as ordered by GroupElements and GroupElementPosition. The identity element is always numbered 1.
- Generators are represented by default using different colors, following the sequence of colors used by Plot with several curves.
Examplesopen allclose all
Basic Examples (1)
Possible Issues (1)
Wolfram Research (2010), CayleyGraph, Wolfram Language function, https://reference.wolfram.com/language/ref/CayleyGraph.html.
Wolfram Language. 2010. "CayleyGraph." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/CayleyGraph.html.
Wolfram Language. (2010). CayleyGraph. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/CayleyGraph.html