a subgraph of the strongly annihilating submodule graph

For a module m over a commutative ring r, the strongly annihilating submodule graph of m, denoted by sag(m), introduced in [4]. ##this graph is a generalization of a graph ag(m), the annihilating submodule graph of m, defined in [2]. ##in this note we give the more properties of sag(m) and moreover we introduce and study a subgraph of the sag(m).