Compact roundtrip routing with topology-independent node names

  • Authors:
  • Marta Arias;Lenore J. Cowen;Kofi A. Laing

  • Affiliations:
  • Center for Computational Learning Systems, Columbia University, New York, NY 10115, USA;Department of Computer Science, Tufts University, Medford, MA 02155, USA;Department of Computer Science, Tufts University, Medford, MA 02155, USA

  • Venue:
  • Journal of Computer and System Sciences
  • Year:
  • 2008

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Abstract

Consider a strongly connected directed weighted network with n nodes. This paper presents compact roundtrip routing schemes with O@?(n) sized local tables and stretch 6 for any strongly connected directed network with arbitrary edge weights. A scheme with local tables of size O@?(@e^-^1n^2^/^k) and stretch min((2^k^/^2-1)(k+@e),8k^2+4k-4), for any @e0 is also presented in the case where edge weights are restricted to be polynomially-sized. Both results are for the topology-independent node-name model. These are the first topology-independent results that apply to routing in directed networks.