Before revision:  Identifying critical edges in complex networks is of great significance in both theoretical studies and practical applications  . Considering the overlap of communities in the neighborhood of edges, a novel and effective index named subgraph overlap (SO) is proposed in this paper.
After revision:  Identifying critical edges in theoretical studies and practical applications . Considering the overlap of communities in the neighborhood of edges, a novel and effective index named subgraph overlap (SO) is proposed in this paper.