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

Abstract

In this paper, we study the prime order Cayley graph assigned to the group ℤn 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 ℤn and 𝒟2n.

Keywords

• cayley graph
• adjacency matrix
• graph cartesian product
• 05c25
• 05c50
• 20a05