Geodesic
On the Automorphism Group of an Infinite Graph
Publications de l'Institut Mathématique, _N_S_34 (1983) no. 48, p. 233

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In this paper, a specially defined automorphism group $\Gamma(G)$ of a connected countable simple infinite graph is considered. As the main result, we prove that $\Gamma(G)$ contains at most one non-trivial element. All infinite graphs with a non-trivial automorphism group are completely described. Finally, for graphs with odd, or with a small even number (2 or 4) of non-zero eignevalues, the corresponding automorphism groups are characterized.
Classification : 05C50 
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     author = {Aleksandar Torga\v{s}ev},
     title = {On the {Automorphism} {Group} of an {Infinite} {Graph}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {233 },
     publisher = {mathdoc},
     volume = {_N_S_34},
     number = {48},
     year = {1983},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1983_N_S_34_48_a33/}
}
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Aleksandar Torgašev. On the Automorphism Group of an Infinite Graph. Publications de l'Institut Mathématique, _N_S_34 (1983) no. 48, p. 233 . http://geodesic.mathdoc.fr/item/PIM_1983_N_S_34_48_a33/