‎Let $R$ be a commutative ring with identity‎, ‎$M$ a multiplication $R$-module‎, ‎and $T(M)^\star$ the set of non-zero torsion elements of $M$‎. ‎We consider two graphs‎, ‎the torsion graph and the annihilator graph of $M$ that have $T(M)^\star$ as their set of vertices‎, ‎and investigate the cases when these graphs are stars‎. ‎The graph theoretic properties are reflected in the ring theoretic properties and vice versa‎. ‎If a ring is considered as a module on itself‎, ‎then the module is a multiplication module‎. ‎Hence‎, ‎our results directly generalize results about rings‎. پرونده مقاله