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Automorphism I don't understand

  1. Feb 20, 2006 #1


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    A permutation p of the vertex set of a graph G with the property that {a,b} is an edge if and only if {p(a), p(b)} is an dege, is called an automorphism of G. Is this right? this sounds isomorphism to me.
  2. jcsd
  3. Feb 20, 2006 #2


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    An automorphism is an isomorphism whose domain equals its codomain. So you know the general notion of an isomorphism f : G -> H. Well an isomorphism f : G -> G is called an automorphism of G.
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