Compact name-independent routing with minimum stretch

  • Authors:
  • Ittai Abraham;Cyril Gavoille;Dahlia Malkhi;Noam Nisan;Mikkel Thorup

  • Affiliations:
  • Hebrew University of Jerusalem, Jerusalem, Israel;University of Bordeaux, Bordeaux, France;Hebrew University of Jerusalem, Jerusalem, Israel & Microsoft Research;Hebrew University of Jerusalem, Jerusalem, Israel;AT&T Labs - Research, Florham Park, NJ

  • Venue:
  • ACM Transactions on Algorithms (TALG)
  • Year:
  • 2008

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Abstract

Given a weighted undirected network with arbitrary node names, we present a compact routing scheme, using aÕ(&sqrt;n,) space routing table at each node, and routing along paths of stretch 3, that is, at most thrice as long as the minimum cost paths. This is optimal in a very strong sense. It is known that no compact routing using o(n) space per node can route with stretch below 3. Also, it is known that any stretch below 5 requires Ω(&sqrt;n,)space per node.