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A unified scheme for routing in expander based networks

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Algorithms and Complexity (CIAC 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 778))

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Abstract

We propose a scheme for constructing expander based networks, by starting with a skeleton (directed and weighted) graph, and fleshing out its edges into expanders. Particular cases which can be built this way are: the multibutterfly, the multi-Beneš, a certain fat-tree and a superconcentrator.

The problem of on-line deterministic routing through any expander based network is shown to be solvable by a generalization of Upfal's algorithm.

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References

  1. Arora, S., T. Leighton, B. Maggs, “On-line algorithms for path selection in a nonblocking network,” Proc. of the Twenty Second Annual ACM Symp. on Theory of Computing, pp. 149–158, 1990.

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  2. Leighton, F.T. and B.M. Maggs, “Fast algorithms for routing around faults in multibutterflies and randomly-wired splitter networks,” IEEE Trans. Comp., vol. 41, pp. 578–587, 1992.

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  5. Upfal, E. “An O(log N) deterministic packet routing scheme,” JACM, vol. 39, pp. 55–70, 1992.

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M. Bonuccelli P. Crescenzi R. Petreschi

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© 1994 Springer-Verlag Berlin Heidelberg

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Even, S., Litman, A. (1994). A unified scheme for routing in expander based networks. In: Bonuccelli, M., Crescenzi, P., Petreschi, R. (eds) Algorithms and Complexity. CIAC 1994. Lecture Notes in Computer Science, vol 778. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57811-0_11

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  • DOI: https://doi.org/10.1007/3-540-57811-0_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57811-6

  • Online ISBN: 978-3-540-48337-3

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