Optimal oblivious routing in polynomial time

  • Authors:
  • Yossi Azar;Edith Cohen;Amos Fiat;Haim Kaplan;Harald Räcke

  • Affiliations:
  • School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel;AT&T Research Labs, 180 Park Ave., Florham Park, 07932 NJ;School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel;School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel;Heinz Nixdorf Institute, Germany and Department of Mathematics and Computer Science, Paderborn University, 33102 Paderborn, Germany

  • Venue:
  • Journal of Computer and System Sciences - Special issue: STOC 2003
  • Year:
  • 2004

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Abstract

A recent seminal result of Räcke is that for any undirected network there is an oblivious routing algorithm with a polylogarithmic competitive ratio with respect to congestion. Unfortunately, Räcke's construction is not polynomial time. We give a polynomial time construction that guarantees Räcke's bounds, and more generally gives the true optimal ratio for any (undirected or directed) network.