  Let M be a module over a commutative ring and let Spec(M) (resp. Max(M)) be
the collection of all prime (resp. maximal) submodules of M. We topologize
Spec(M) with Zariski topology, which is analogous to that for Spec(R), and
consider Max(M) as the induced subspace topology. For any non-empty subset T of
Max(M), we introduce a new graph G(\tau^{m}_{T})called the Zariski
topology-graph on the maximal spectrum of M. This graph helps us to study the
algebraic (resp. topological) properties of M (resp. Max(M)) by using the graph
theoretical tools.
