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An optimal solution to a wire-routing problem (preliminary version)

Published: 28 April 1980 Publication History

Abstract

A wire-routing problem which arises commonly in the layout of circuits for very large scale integration (VLSI) is discussed. Given the coordinates of terminals u1, u2, ..., un of one component and v1, v2, ..., vn of another, the problem is to lay out n wires so that the ith wire connects ui to vi, and adjacent wires are separated at least by some fixed distance. The solution with minimum wire length is characterized, and an optimal algorithm which constructs it is presented.

References

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Garey, M.R., Graham, R.L., and Johnson, D.S. Some NP-Complete Geometric Problems. Proceedings of the Eighth Annual ACM Symposium on Theory of Computing, Hershey, Pennsylvania (May 1976), 10–22.
[2]
Lozano-Pérez, T. and Wesley, M.A. An Algorithm for Planning Collision-Free Paths Among Polyhedral Obstacles. Communications of the ACM 22, 10 (October 1979), 560–570.
[3]
Mead, C.A. VLSI Design Course. Offered at University of Washington, August 20 - September 14, 1979.
[4]
Mead, C.A. and Conway, L.C. Introduction to VLSI Systems. Addison-Wesley Publishing Co., Reading, Massachusetts, 1980.
[5]
Reif, J.H. Complexity of the Mover's Problem and Generalizations. 20th Annual Symposium on Foundations of Computer Science, San Juan, Puerto Rico (October 1979), 421–427.
[6]
Shamos, M.I. and Hoey, D. Geometric Intersection Problems. 17th Annual Symposium on Foundations of Computer Science, Houston, Texas (October 1976), 208–215.

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cover image ACM Conferences
STOC '80: Proceedings of the twelfth annual ACM symposium on Theory of computing
April 1980
446 pages
ISBN:0897910176
DOI:10.1145/800141
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 28 April 1980

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STOC '80 Paper Acceptance Rate 47 of 125 submissions, 38%;
Overall Acceptance Rate 1,469 of 4,586 submissions, 32%

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  • (1988)A Greedy channel routerPapers on Twenty-five years of electronic design automation10.1145/62882.62912(256-262)Online publication date: 1-Jun-1988
  • (1983)General river routing algorithmProceedings of the 20th Design Automation Conference10.5555/800032.800727(578-583)Online publication date: 27-Jun-1983
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  • (1981)Optimal wiring between rectanglesProceedings of the thirteenth annual ACM symposium on Theory of computing10.1145/800076.802484(312-317)Online publication date: 11-May-1981
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