To extend the dynamic algorithms to handle more general graph classes beyond tournaments, we can consider adapting the data structures and algorithms to accommodate the specific properties of the new graph classes. For example, for general directed graphs, we may need to modify the triangle detection data structures to account for cycles and directed paths that are not present in tournaments. Additionally, the update and query operations may need to be adjusted to handle the different connectivity patterns and structural characteristics of the new graph classes. By analyzing the unique features of the target graph class, we can tailor the dynamic algorithms to effectively address the feedback problems within those graphs.