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Spectral partitioning: the more eigenvectors, the better

Published: 01 January 1995 Publication History
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References

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C. J. Alpert and A. B. Kahng, "Geometric Embeddings fo Faster and Better Multi-Way Netlist Partitioning," Proc. ACM/IEEE Design Automation Conf., 1993, pp. 743-748.
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C. J. Alpert and A. B. Kahng, "Multi-way Partitioning Via Spacefilling Curves and Dynamic Programming," Proc. ACM/IEEE Design Automation Conf., 1994, pp. 652-657.
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C. J. Alpert and A. B. Kahng, "A General Framework for Vertex Orderings, With Applications to Netlist Clustering," IEEE Intl. Conf. on Computer-Aided Design, 1994, pp. 63- 67.
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C. J. Alpert and A. B. Kahng, "Recent Directions in Netlist Partitioning: A Survey," to appear in Integration: the VLSI Journal, 1995.
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C. J. Alpert and S.-Z. Yao, "Spectral Partitioning: The More Eigenvectors, the Better," UCLA CS Dept. Technical Report, #940036, October 1994.
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E. R. Barnes, "An Algorithm for Partitioning the Nodes of a Graph," Siam J. Algorithms and Discrete Methods (3)4, 1992, pp. 541-549.
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P.K. Chan, M. D. F. Schlag and J. Zien, "Spectral K-Way Ratio Cut Partitioning and Clustering", IEEE Trans. on CAD 13(9), 1994, pp. 1088-1096.
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J. Frankle and R. M. Karp, "Circuit Placements and Cost Bounds by Eigenvector Decomposition," IEEE Conf. Computer Aided Design, 1986, pp. 414-417
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J. Garbers, H. J. Promel and A. Steger, "Finding Clusters in VLSI Circuits" Proc. IEEE Intl. Conf. on Computer-Aided Design, 1990, pp. 520-523.
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L. Hagen and A. B. Kahng, "Fast Spectral Methods for Ratio Cut Partitioning and Clustering", Proc. IEEE Intl. Conf. Computer-Aided Design, 1991, pp. 10-13.
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L. Hagen and A. B. Kahng, "A New Approach to Effective Circuit Clustering", Proc. IEEE Intl. Conf. on Computer- Aided Design, 1992, pp. 422-427.
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K. M. Hall, "An r-dimensional Quadratic Placement Algorithm", Manag. Sci., 17(1970), pp. 219-229.
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B. Mohar, "The Laplacian Spectrum of Graphs", Proc. 6th Quadrennial Intl. Conf. on Theory and Applications of Graphs, 1988, pp. 871-898.
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F. Rendl and H. Wolkowicz, "A Projection Technique for Partitioning the Nodes of a Graph", Univ. Waterloo Technical Report, May 1994.
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B. M. Riess, K. Doll, and F. M. Johannes, "Partitioning Very Large Circuits Using Analytical Placement Techniques", Proc. ACM/IEEE Design Automation Conf., 1994, pp. 646- 651.

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    cover image ACM Conferences
    DAC '95: Proceedings of the 32nd annual ACM/IEEE Design Automation Conference
    January 1995
    760 pages
    ISBN:0897917251
    DOI:10.1145/217474
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