The network reconfiguration is an important stage in the process of the power system black start. Based on some static topological characteristics of complex networks， a new skeleton-network reconfiguration strategy is proposed to determine the optimal restoration target. Taking the node importance and the line betweenness as two major indicators， the strategy can identify nodes and lines for the target network more reasonably. Moreover， the discrete particle swarm optimization（DPSO） method is employed to realize the strategy and the optimal skeleton-network achieved contains most of the important nodes and lines. Application examples verify that the strategy is helpful to restoring the system more effectively.