Abstract
Hot-Potato routing is a very simple and powerful approach for processor communication in parallel networks and it is widely used in practice. For the permutation routing problem on meshes, which is the standard problem considered in the literature, we develop new analysis techniques and double the efficiency of the best deterministic algorithms. We also present lower bounds for the greedy method applied to HotPotato schemes.
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Acampora, A.S., Shah, S.I.A., ‘Multihop lightwave networks: a comparison of storeand forward and hot-potato routing,’ IEEE INFOCOM, pp. 10–19, 1991.
Athas, W.C., ‘Physically Compact, High Performance Multicomputers,’ MIT Conference on Advanced Research in VLSI, pp. 302–313, 1990.
Baran P., ‘On distributed communications networks,’ IEEE Transactions on Communications, pp. 1–9, 1964.
Borodin A., J.E. Hopcroft, ‘Routing, merging and sorting on parallel models of computation,’ Journal of Computer Systems and Sciences, pp. 130–145, 1985.
Feige, U., P. Raghavan, ‘Exact Analysis of Hot-Potato Routing,’ Proc. 33rd Symp. on Foundations of Computer Science, pp. 553–562, IEEE, 1992.
Greenberg, A.G. and B. Hajek, ‘Deflection routing in hypercube networks,’ IEEE Trans. Communications, 1992.
Hillis, W.D., ‘The Connection Machine,’ MIT Press, 1985.
Kaklamanis Ch., D. Krizanc, S. Rao, ‘Hot-potato routing on processor arrays,’ Proc. ACM Symp. on Parallel Algorithms and Architectures, pp. 273–282, 1993.
Leighton, F.T., Introduction to Parallel Algorithms and Architectures: ArraysTrees-Hypercubes, Morgan-Kaufmann Publishers, San Mateo, California, 1992.
Maxemchuk, N.F., ‘Comparison of deflection and store and forward techniques in the manhattan street and shuffle exchange networks,’ IEEE INFOCOM, pp. 800–809, 1989.
Newman, I., A. Schuster, ‘Hot-Potato Algorithms for Permutation Routing,’ Proc. ISTCS, June 1993.
Schnorr, C.P., A. Shamir, ‘An Optimal Sorting Algorithm for Mesh Connected Computers,’ 18th Symp. on Theory of Computing, pp. 255–263, ACM, 1986.
Seitz, ‘The Caltech Mosaic C: an experimental, fine-grain multicomputer,’ 4th Annual ACM Symp. on Parallel Algorithms and Architectures, 1992.
Smith, B., ‘Architecture and Applications of the HEP Multiprocessor Computer System,’ Proc. 4th Real Time Signal Processing, pp. 241–248, 1981.
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© 1994 Springer-Verlag Berlin Heidelberg
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Kaufmann, M., Lauer, H., Schröder, H. (1994). Fast deterministic Hot-Potato routing on processor arrays. In: Du, DZ., Zhang, XS. (eds) Algorithms and Computation. ISAAC 1994. Lecture Notes in Computer Science, vol 834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58325-4_197
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DOI: https://doi.org/10.1007/3-540-58325-4_197
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