On the Complement of the Intersection Graph of Zero-Divisors of the Ring Zn

For the ring of integers modulo 𝑛, we study the complement of the intersection graph of zero-divisors is denoted by 𝐺_𝑍′ (𝑍_𝑛)̅ and is defined as a simple undirected graph whose vertices are the set of all nonzero zero-divisors of the ring 𝑍_𝑛 and in which two distinct vertices are joined by an edge if and only if their corresponding principal ideals have zero intersection. We determine the necessary and sufficient condition for adjacency of vertices in the graph 𝐺_𝑍′ (𝑍_𝑛)̅. Also, we investigate the connectedness and further calculate the radius and diameter of the graph 𝐺_𝑍′ (𝑍_𝑛)̅ for all characterizations of 𝑛.