Some new results on the prime order Cayley graph of given groups

In this paper, we study the prime order Cayley graph assigned to the group ℤ_n for different values of n. We specify some of the graph theoretical properties such as chromatic and perfect matching numbers. Furthermore, we determine the adjacency matrices and eigenvalues of the prime order Cayley graph associated with groups ℤ_n and 𝒟_2n.