This letter considers the topological interference management (TIM) problem in a partially connected network where Device-to-Device (D2D) enabled devices are not aware of the surrounding devices' channel state information but only of the network connectivity to cancel the interference occurred. We model TIM as a low-rank-matrix-completion problem and solve it using a novel scheme based on semidefinite programming while overcoming TIM matrix special structure with hard constraints. Our simulations show a matrix rank reduction ability that outperforms other existing methods, and thus corresponds to a lessening in signal interference: a key need in D2D networks.