Before revision:  The higher-order interactions in complex networksare interactions between two or more nodes, i. e., beyond edges.
After revision: Information diffusion on networks is an important concept in network science observed in many situations such as information spreading and rumor controlling in social networks, disease contagion between individuals, cascading failures in power grids. The higher-order interactions in complex networksare interactions between two or more nodes, i. e., beyond edges.