We consider the problem of strong coordination over several three-agent networks, such as line, broadcast, and multiple-access networks. Coordination is specified by a joint distribution between the actions of the agents, and the objective is to identify the minimum communication between agents required to achieve the prescribed joint distribution. We establish inner and outer bounds on the coordination capacity rate region for these networks, using achievability proofs that leverage results for multiple-access channel resolvability and for strong secrecy over wiretap channels. We show how these results provide insight into the interplay between network topology and coordination.