A unified approach to fault-tolerant routing

A theoretical study of the connectivity and fault tolerance of Cartesian product networks is presented. The theoretical results are used to synthesize provably correct adaptive fault-tolerant algorithms from ones written for the component networks. The theoretical foundations that relate the connectivity of a Cartesian product network, the connectivity of the component networks, and the number of faulty components are established. It is shown that the connectivity of a product network is at least the sum of the connectivities of its factor networks. Based on the constructive connectivity proof, an adaptive, generic, distributed algorithm that can perform successful point-to-point routing in product networks, in the presence of faults, is devised. A proof of correctness of the algorithm is provided.<
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