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This letter presents a new oblivious routing algorithm for 3D mesh networks called randomized partially-minimal (RPM) routing that provably achieves optimal worst- case throughput for 3D meshes when the network radix fc is even and within a factor of 1/k2 of optimal when k is odd. Although this optimality result has been achieved with the minimal routing algorithm OITURN for the 2D case, the worst-case...
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