asymetric graph with three nods


by Tom83B
Tags: asymetric, graph, nods
Tom83B
Tom83B is offline
#1
Dec30-12, 06:59 AM
P: 46
Why isn't this graph:
1-2 3
asymetric?
I think there exists only one automorphism:
2-1 3
but I'm also supposed to prove that ther are no asymetric graphs with 1<|V(G)|<=5
so it can't be assymetric
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Tom83B
Tom83B is offline
#2
Dec30-12, 07:07 AM
P: 46
Oh I see now! It can have no non-trivial symmetries and permutation (1 2) is already a non-trivial symmetry.
Sorry to bother


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