Count the number of automorphisms in the graph

scorpius1782 · Mar 11, 2014

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?

phinds · Mar 11, 2014

Just FYI, the graph is NOT attached.

Count the number of automorphisms in the graph

Homework Statement

The Attempt at a Solution

Attachments

Discussion

Count the number of automorphisms in the graph

Homework Statement

The Attempt at a Solution

Attachments

Discussion

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