Collective dynamics in multi-agent systems are significantly affected by time delays and antagonistic interactions.
In this talk, we study a class of delayed Cucker-Smale models incorporating cooperation-competition mechanisms that lead to bipartite flocking behavior. We establish sufficient conditions for unconditional bipartite flocking under a directed interaction topology containing a spanning tree with a single leader. Our analysis highlights the interplay between delay effects and network structure, showing that convergence toward two coherent clusters can still be guaranteed despite communication lags. The theoretical results are complemented by numerical simulations that illustrate the emergence of bipartite alignment and validate the analytical conditions.