We associate a graph Γ+(R) to a ring R whose vertices are nonzero proper right ideals of R and two vertices I and J are adjacent if I+J=R. Then we try to translate properties of this graph into algebraic properties of R and vice versa. For example, we characterize rings R for which Γ+(R) respectively is connected, complete, planar, complemented or a forest. Also we find the dominating number of Γ+(R).
 Akbari, S.Maimani, H. R.Yassemi, S.2003When a zero-divisor graph is planar or a complete r-partite graphJ. Algebra270169–180.