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Unit graph is the intersection of graph theory and algebraic structure, which can be seen from the unit graph representing the ring modulo n in graph form. Let R be a ring with nonzero identity. The unit graph of R, denoted by G (R), has its set of vertices equal to the set of all elements of R; distinct vertices x and y are adjacent if and only if x + y is a unit of R. In this study, the unit graph, which is in the ring of integers modulo n, denoted by G (Zn). It turns out when n is 2ᵏ, G (Zn) forms a complete bipartite graph for k∈N, whereas when n is prime, G (Zn) forms a complete (n+1) /2-partites graph. Additionally, the numerical invariants of the graph G (Zn), such as degree, chromatic number, clique number, radius, diameter, domination number, and independence number complement the characteristics of G (Zn) for further research.
Lestari et al. (Fri,) studied this question.