LAUSR

Let R be a commutative ring, ℐ(R) the set of all ideals of R and S, a subset of ℐ∗(R) = ℐ(R)∖{0}. The Cayley sum graph of ideals of R, denoted by Cay(ℐ(R),S), is a simple undirected graph with vertex set is the set ℐ(R) and, for any two distinct vertices I and J are adjacent if and only if I + K = J or J + K = I, for some K in S. In this paper, we study connectedness, Eulerian and Hamiltonian properties of Cay(ℐ(R),Max(R)). Moreover, we characterize all commutative Artinian rings R whose Cay(ℐ(R),Max(R)) is toroidal.