On The Complement of the Jacobson Graph of a finite commutative ring

Let R be a finite commutative ring with nonzero identity and denote its Jacobson radical by J(R). The Jacobson graph of R is the graph in which the vertex set is R(R), and two distinct vertices x and y are adjacent if and only if 1 – xy is not a unit in R. In this paper, we obtain some properties of the complement of the Jacobson graph.