Get the number of automorphisms the graph contains. An automorphism of a graph is a form of symmetry in which the graph is mapped onto itself while preserving edge-node connectivity.

## Examples

```
# Create a cycle graph
graph <-
create_graph() %>%
add_cycle(n = 5)
# Get a count of automorphisms
graph %>%
count_automorphisms()
#> [1] 10
# Create a full graph and then
# count the automorphisms
create_graph() %>%
add_full_graph(n = 10) %>%
count_automorphisms()
#> [1] 3628800
```