# automorphism group of the Petersen graph

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• September 10th 2011, 04:38 PM
math8
automorphism group of the Petersen graph
My question is how do you show the automorphism of the Petersen graph is $S_5$ ?

Can you actually say that by drawing it, you can see that when you contract the 'border' vertices to the 'inner' vertices of the Petersen graph, you get $K_5$ which has $S_5$ as its automorphism group. Or is there another way of explaining this?
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