The application of device-to-device (D2D) communication in cellular networks can significantly improve the\nefficiency of spectrum utilization, which benefits local area cooperative services. On the other hand, network coding\ncan realize more efficient cooperation among cellular users. Thus, it is natural to combine network coding with D2D\ncommunication in order to further increase the system sum rate. In this paper, a coalitional graph game framework is\nproposed to jointly accomplish resource allocation and relay selection, two challenging problems in network\ncoding-aided D2D communication networks. It is shown that this framework can model D2D communication\ncombined with various network coding schemes. Based on the coalitional graph game framework, a distributed\nalgorithm with low computational complexity is proposed to solve the formulated problem for physical layer network\ncoding-aided D2D communication. Finally, the performance of the proposed transmission scheme is evaluated\nthrough extensive simulations.
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