Some Cayley graphs that are multipartite

This note shows that a Cayley graph over a cyclic group H where all elements of S ⊆ H have order |H|, symbolized by C(H,S)¯, is p-partite graph for each prime divisor p of |H|. The distribution elements in independent sets of the graph will differ depending on the divisor p that is chosen. For further exploration, some graph invariants of C(H,S)¯ for all values of |H| (also has exactly one prime divisor) such as matching number, independence number, Wiener index, average distance, and Zagreb indices are determined.