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Device-to-Device (D2D) communication underlaying cellular networks will become an important technology in future networks such as IMT-Advanced to improve spectral efficiency. In order to enhance the overall system performance, the mutual interference between cellular and D2D communication caused by reusing the spectrum should be properly coordinated and channel allocation is considered as one of the methods to coordinate the interference. In this paper, the problem of channel allocation in a single cell system with several D2D pairs wanting to communicate directly is modeled. Then, an optimal interference-aware channel allocation scheme based on Hungarian algorithm is proposed. The scheme aims to maximize the number of permitted D2D communication pairs in a system meanwhile avoiding the strong interference from D2D communication to the cellular communication. Besides, we also propose a heuristic algorithm to reduce the computational complexity. Simulation results show that the proposed methods enhance the number of permitted D2D communication pairs significantly and the heuristic algorithm has a performance similar to that of the optimal algorithm which is based on Hungarian algorithm.