Authors classify arc-transitive inner-automorphic Cayley graphs on dihedral groups, supply a necessary condition plus infinite examples, and finish the 2-distance-transitive case.
Ito, The spectrum of a conjugacy class graph of a finite group, Math
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On arc-transitive inner-automorphic Cayley graphs on dihedral groups
Authors classify arc-transitive inner-automorphic Cayley graphs on dihedral groups, supply a necessary condition plus infinite examples, and finish the 2-distance-transitive case.