There are a variety of ways to associate directed or undirected graphs to a group. It may be interesting to investigate the relations between the structure of these graphs and characterizing certain properties of the group in term of some properties of the associated graphs. The Power graph Tp(G), of a group G is the graph whose vertex set is the group element and two elements are adjacent if one is the power of other. In this paper, we investigate some properties of the power graph of Zn and Cn of prime order.
Finite graph, complete graph, connected graph, power graph, regular graph
