Abstract
Letq be a prime of the formq = 40x + 13,q = 40x + 27,q = 40x + 37, orq = 40x + 43. Then a connected, undirected, 4-valent, non-bipartite graph on whichPSL 2 (q) acts 2-arc transitively is non-Cayley.
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Nochefranca, L.R. On an infinite class of non-bipartite and non-cayley graphs having 2-arc transitive automorphism groups. Graphs and Combinatorics 7, 271–275 (1991). https://doi.org/10.1007/BF01787633
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DOI: https://doi.org/10.1007/BF01787633