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Hardware/Software (HW/SW) partitioning is one of the key processes in an embedded system.It is used to decide which system components are assigned to hardware and which are processed by software.While most of the research on HW/SW partitioning focuses on developing efficient heuristic.In this paper,we focused on the pre-process of the task graph before the HW/SW partitioning,as well as enumerating all the sub-graphs which meet the requirements.