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For the next generation wireless communication systems, inter-cell interference (ICI) is the primary cause of performance degradation in cell edge mobile stations of OFDMA multi-hop cellular networks with the frequency reuse pattern (1, 3, 1). This paper introduces a new fractional frequency reuse scheme to assign radio resources in OFDMA multi-hop networks to reduce inter-cell interference and maintain the sector frequency reuse factor at 1. Through the numerical analysis, we find that this scheme can yield higher SINR and improve the system capacity. Furthermore, the results also indicate that fractional frequency reuse relay system with local forwarding scheme can achieve higher throughput than local forwarding scheme in conventional relay system.