Before revision: In transportation, communication, social and other real networks, there are some critical edges play an important role in the delivery of traffic flow and information packets. 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: In transportation, communication, social and other real networks, there are some critical edges act a pivotal part in controlling the flow of information and maintaining the integrity of the structure. Due to the importance of 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.