The complement subgroup product graph of a cyclic group

In this paper, we introduced a new graph, it is called complement subgroup product graphs (CSPG) derived from cyclic groups. The set of vertices is the proper subgroup of group G and for each two proper subgroups H, K is connected if and only if HK=G. We study the formulas for vertex degrees, isolation properties of certain graphs, matrix degree representations, and edge calculations.