Before revision:  Identifying critical higher-order interactions is a significant research problem with a wide range of applications, such as information propagation, market advertising, and rumor controlling.
After revision:  Besides, interactions can occur between not only two nodes as pairwise interactions, i.e., edges, but also three or more nodes, described as higher-order interactions is a significant research problem with a wide range of applications, such as information propagation, market advertising, and rumor controlling.