Before revision: Exploring complex social contagion, especially the social reinforcement dynamics when exposing to multiple sources , is of vital importance for understanding the spread of complicated collective behaviors nowadays. While previous works exclusively focus on single-layer networks , the detailed impacts of multilayer reinforcement which characterizes the promoting effects among multiple social circles remain largely unknown .
After revision: Exploring complex social contagion, especially the social reinforcement dynamics when exposing to multiple sources in social contagion process, is ubiquitous in information-technology ecosystem and has aroused great attention in recent years. While the impacts of social reinforcement on single-layer networks , the detailed impacts of multilayer reinforcement which characterizes the promoting effects among multiple social circles remain largely unknown .