Provably good routing in graphs: regular arrays

  • Authors:
  • P Raghavan;C D Thompson

  • Affiliations:
  • Computer Science Division, 573 Evans Hall, U.C. Berkeky, CA;Computer Science Division, 573 Evans Hall, U.C. Berkeky, CA

  • Venue:
  • STOC '85 Proceedings of the seventeenth annual ACM symposium on Theory of computing
  • Year:
  • 1985

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Abstract

We examine the problem of routing wires on a VLSI chip where the nodes to be connected are arranged in a two-dimensional array. We develop provably good algorithms that find a solution close to the optimal one with high probability. Our approximation algorithms solve the relevant 0-1 integer optimization problems by solving their relaxed versions and then rounding by an interesting probabilistic technique. One of our algorithms, using multicommodity flow, has applications to routing in circuit switching networks.