Simple path selection for optimal routing on processor arrays

Abstract
In this paper, we consider the problem of permutation routing in two- and three-dimensional mesh-connected processor arrays. We present new on-line and off-line routing algorithms, all of which are optimal to within a small additive term. In particular, our results include the following: 1. An off-line algorithm for routing a permutation in an n x n mesh in time 2n – 1 using buffers of size 4.

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