The definition of a suitable trigger sequence is challenging during the configuration of non-iterative co-simulation. Therefore, a trigger sequence approach is presented for interacting subsystem in a sequential co-simulation framework. For this purpose, the dependencies between the subsystems are used to describe a co-simulation graph. According to the co-simulation graph an optimization approach for the optimal trigger sequence is derived. Furthermore, the subsystem execution behaviour is discussed with respect to different coupling step sizes. Therefore, the impact of the underlying scheduling algorithm is analysed. A transformation of the co-simulation graph is introduced in order to consider the scheduling behaviour. This enables the usage of solving algorithms designed for equal coupling time steps. In addition to that, an extension of the co-simulation graph is done by weighting of the coupling signals. The weighting of coupling signals allows the prioritization of the subsystems. This affects the trigger sequence and consequently the simulation results. In this context, different weighting approaches are discussed and compared by an example.