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Three-layer bubble-sorting-based nonManhattan channel routing
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Source ACM Transactions on Design Automation of Electronic Systems (TODAES) archive
Volume 5 ,  Issue 3  (July 2000) table of contents
Pages: 726 - 734  
Year of Publication: 2000
ISSN:1084-4309
Author
Jin-Tai Yan  Chung Hua Univ., Taiwan, R.O.C.
Publisher
ACM  New York, NY, USA
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ABSTRACT

It is well known that a nonManhattan channel router can use fewer routing tracks, and is never worse than a Manhattan router in a channel. To my knowledge, a three-layer bubble-sorting-based nonManhattan channel routing problem is always solved by the solution in a two-layer bubble-sorintg-based nonManhattan channel routing problem. Recently, an O(kn2) heuristic algorithm [Chaudhary et al. 1991] and an O(kn2) optimal algorithm [Chen et al. 1994] have been proposed, where k is the number of two-layer routing tracks and n is the number of terminals in a bubble-sorintg-based nonManhattan channel. In this paper we propose an optimal three-layer bubble-sorintg-based nonManhattan routing algorithm to minimize the number of three-layer routing tracks. Furthermore, the time complexity of theis optimal algorithm is proven to be in O(hn) time, where h is the number of three-layer routing tracks and n is the number of terminals in a bubble-sorting-based nonManhattan channel.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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CHAUDHARY, K. AND ROBINSON, P. 1991. Channel routing by sorting. IEEE Trans. Comput.- Aided Des. 10 (June 1991), 754-760.
 
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CHEN, R. C. Y., Hou, C. Y., AND SINGH, U. 1994. Optimal algorithms for bubble sort based non-Manhattan channel routing. IEEE Trans. Comput.-Aided Des. 13, 5 (May 1994), 603-609.
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YAN, J. T. 1999. An improved optimal algorithm for bubble-sorting-based non-Manhattan channel routing. IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst. 18, 2, 163-171.
 
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