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In this paper, we propose the generalized de Bruijn graph as a reliable and efficient network topology for a Network-on-Chip (NoC) design. We also propose a reliable routing algorithm to detour a problematic (i.e., faulty or congested) link. Our experimental results show that the latency and energy consumption of generalized de Bruijn graph are much less with compared to Mesh and Torus, the two common NoC architectures in the literature. The low energy consumption of de Bruijn graph-based NoC makes it suitable for portable devices which have to operate on limited batteries. Also, the gate level implementation of the proposed reliable routing shows a small area, power, and timing overheads due to the proposed reliable routing algorithm.