Abstract
Given a weighted undirected network with arbitrary node names, we present a family of routing schemes characterized by an integral parameter κ ≥ 1. The scheme uses \(\widetilde{O}(n^{1/\kappa} \log D)\) space routing table at each node, and routes along paths of linear stretch O(κ), where D is the normalized diameter of the network. When D is polynomial in n, the scheme has asymptotically optimal stretch factor. With the same memory bound, the best previous results obtained stretch O(κ 2).
Of independent interest, we also construct a single-source name-independent routing scheme for uniform weighted graphs with O(1) stretch and \(\widetilde{O}(1)\) bits of storage. With the same stretch, the best previous results obtained memory \(\widetilde{O}(n^{1/9})\).
Full version appears as Technical Report #RR-1330-04 of Bordeaux University [1].
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References
Abraham, I., Gavoille, C., Malkhi, D.: Routing with improved communication- space trade-off, Tech. Report RR-1330-04, LaBRI, University of Bordeaux 1, 351, cours de la Libération, 33405 Talence Cedex, France (July 2004)
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Abraham, I., Gavoille, C., Malkhi, D. (2004). Routing with Improved Communication-Space Trade-Off. In: Guerraoui, R. (eds) Distributed Computing. DISC 2004. Lecture Notes in Computer Science, vol 3274. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30186-8_22
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DOI: https://doi.org/10.1007/978-3-540-30186-8_22
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