Count the number of automorphisms in the graph

  • #1
107
0

Homework Statement


I had a different problem before about this and I figured it out. I'd like to know if I'm doing this one correctly as well.
Count the number of automorphisms in the graph.
The graph is attached, now.


The Attempt at a Solution



I know I can rearrange the (a,m,b) 3! ways. I also know that I can only arrange (g,h) and (e,d) 4 ways. So, for each arrangement of (a,m,b) I have 4 arrangements of (g,h) and (e,d). Then 6*4=24 total.

Have I got this sorted out correctly?
 

Attachments

Last edited:

Answers and Replies

  • #2
phinds
Science Advisor
Insights Author
Gold Member
16,664
7,251
Just FYI, the graph is NOT attached.
 
  • Like
Likes 1 person

Related Threads on Count the number of automorphisms in the graph

  • Last Post
Replies
5
Views
784
  • Last Post
Replies
9
Views
2K
  • Last Post
Replies
0
Views
1K
Replies
1
Views
2K
  • Last Post
Replies
9
Views
2K
Replies
1
Views
3K
Replies
4
Views
435
  • Last Post
Replies
4
Views
884
  • Last Post
Replies
4
Views
753
Top