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Data switch structure is necessary to support data transfers in network on chip (NoC). Most of designs can only support one-direction data transfer, and the potential concurrency is omitted. Concurrent multi-direction data switch structure (CMDSS) that proposed before can offer several concurrent transfers. In this paper, graph theory is used to help designing the structures, and the method is called graphic state select (GSS). Three case studies shows that GSS is flexible and useful to satisfy different requirements from real applications.