Topological Properties of Hypercubes
IEEE Transactions on Computers
Efficient dispersal of information for security, load balancing, and fault tolerance
Journal of the ACM (JACM)
Algorithmic graph theory
VLSI and parallel computation
Concentrated regular data streams on grids: sorting and routing near to the bisection bound
SFCS '91 Proceedings of the 32nd annual symposium on Foundations of computer science
Optimal routing in toroidal networks
Information Processing Letters
Optimal Multi-Packet Routing on the Torus
SWAT '92 Proceedings of the Third Scandinavian Workshop on Algorithm Theory
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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.