The Hoffman-Singleton graph and its automorphisms
Journal of Algebraic Combinatorics, Tome 18 (2003) no. 1, pp. 7-12.

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Summary: We describe the Hoffman-Singleton graph geometrically, showing that it is closely related to the incidence graph of the affine plane over $Ropf _{5}$. This allows us to construct all automorphisms of the graph.
Keywords: hoffman-singleton graph, automorphisms, biaffine plane
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Hafner, Paul R. The Hoffman-Singleton graph and its automorphisms. Journal of Algebraic Combinatorics, Tome 18 (2003) no. 1, pp. 7-12. http://geodesic.mathdoc.fr/item/JAC_2003__18_1_a4/