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Hot-potato algorithms for permutation routing

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2 Author(s)
Newman, I. ; Dept. of Math. & Comput. Sci., Haifa Univ., Israel ; Schuster, A.

We develop a methodology for the design of hot-potato algorithms for routing permutations. The basic idea is to convert existing store-and-forward routing algorithms to hot-potato algorithms. Using it, we obtain the following complexity bounds for permutation routing: n×n Mesh: 7n+o(n) steps; 2n hypercube: O(n2) steps; n×n Torus: 4n+o(n) steps. The algorithm for the two-dimensional grid is the first to be both deterministic and asymptotically optimal. The algorithm for the 2n-nodes Boolean cube is the first deterministic algorithm that achieves a complexity of o(2n) steps

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Parallel and Distributed Systems, IEEE Transactions on  (Volume:6 ,  Issue: 11 )