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Hot-Potato Algorithms for Permutation Routing
November 1995 (vol. 6 no. 11)
pp. 1168-1176

Abstract—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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Index Terms:
Deflection routing, packet routing, parallel algorithms.
Citation:
Ilan Newman, Assaf Schuster, "Hot-Potato Algorithms for Permutation Routing," IEEE Transactions on Parallel and Distributed Systems, vol. 6, no. 11, pp. 1168-1176, Nov. 1995, doi:10.1109/71.476188
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