The structure of Cayley graphs of dihedral groups of Valencies 1, 2 and 3

Let G be a group and S subset of such that e ∉ S−1 ⊆ S. Then Cay(G, S) is simple undirected Cayley graph whose vertices are all elements two x y adjacent if only xy−1 ∈ The size called the valency S). In this paper, we determined structure Cay(D2n, S), where D2n dihedral order 2n, n ≥ 3 |S| = 1, 2 or 3.