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Feasible Offset and Optimal Offset for Single-Layer Channel Routing
Proceedings of the 2nd Annual Israel Symposium on Theory of Computing and Systems
  • Ronald I. Greenberg, Loyola University Chicago
  • Jau-Der Shih
Document Type
Conference Proceeding
Publication Date
6-1-1993
Pages
193-201
Publisher Name
IEEE Computer Society
Abstract

The paper provides an efficient method to find all feasible offsets for a given separation in a VLSI channel routing problem in one layer. The prior literature considers this task only for problems with no single-sided nets. When single-sided nets are included, the worst-case solution time increases from Theta(n) to Omega(n^2), where n is the number of nets. But, if the number of columns c is O(n), one can solve the problem in time O(n^{1.5}lg n ), which improves upon a `naive' O(cn) approach. As a corollary of this result, the same time bound suffices to find the optimal offset (the one that minimizes separation). Better running times are obtained when there are no two-sided nets or all single-sided nets are on one side to the channel. The authors also give improvements upon the naive approach for c≠O(n), including an algorithm with running time independent of c.

Comments

Author Posting. © IEEE, 1993. This is the author's version of the work. It is posted here by permission of {Publisher} for personal use, not for redistribution. The definitive version was published inProceedings of the 2nd Annual Israel Symposium on Theory of Computing and Systems, pages 193--201, http://dx.doi.org/10.1109/ISTCS.1993.253470.

A revised version can be found at http://ecommons.luc.edu/cs_facpubs/84

Creative Commons License
Creative Commons Attribution-Noncommercial-No Derivative Works 3.0
Citation Information
Ronald I. Greenberg and Jau-Der Shih. "Feasible Offset and Optimal Offset for Single-Layer Channel Routing" Proceedings of the 2nd Annual Israel Symposium on Theory of Computing and Systems (1993)
Available at: http://works.bepress.com/ronald-greenberg/32/