Fault tolerant routing in toroidal networks

We give an O(r/sup 2/) time algorithm for constructing a fault-free routing path of optimal length between any true non-fault nodes of an r-dimensional torus with 2r-1 faulty nodes. We show that the Rabin diameter of a r-dimensional torus is its diameter plus one. We also describe a cluster fault tolerant (CFT) routing model and give an efficient algorithm for node-to-node CFT routing.<
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