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Some combinatorial optimization problems arising from VLSI circuit design

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Abstract

This paper is basically a survey to show a number of combinatorial optimization problems arising from VLSI circuit design. Some of them including the existence problem, minimax problem, net representation, bend minimization, area minimization, placement problem, routing problem, etc. are especially discussed with new results and theoretical ideas for treating them. Finally, a number of problems for further research are mentioned.

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References

  1. Cui S. F. and Liu Y. P., Efficient algorithms for rectilinear extensions of standard graphs.Acta Math. Appl. Sinica (in Chinese), to appear.

  2. Hu T. C. and Kuh, S. E., Theory and concepts of circuit layout in VLSI circuit design: Theory and Design,IEEE Press, 1985, 3–18.

  3. Jaumard, B., Marchioro, P., Morgana, A., Petreschi, R., and Simeone, B., On-line 2-satisfiability.Ann. Math. Artificial Intel., 1 (1990), 155–165.

    Article  MATH  Google Scholar 

  4. Lipton, R. J. and Tarjan, R. E., A separator theorem for planar graphs,SIAM J. Appl. Math.,36 (1979), 177–189.

    Article  MATH  Google Scholar 

  5. Liu, Y. P., Marchioro, P., and Petreschi, P., At most single-bend embeddings of cubic graphs. Reserch Report 002, Inst., Appl. Math. Academia Sinica, 1992, and SI 92/01. Dept. Comp. Sa., University “La Saprenza” of Rome, 1992.

  6. Liu Y. P., Marchioro, P., Petreschi, P., and Simeone, B., Theoretical results on at most 1-bend embeddability of graphs, Research Report Series A, No. 3, Department of Statistics, University of Rome “La Sapienza”, 1990. Also inActa Math. Appl. Sinica 8:2 (1992), 188–192.

  7. Liu, Y. P., Morgans, A., and Simeonne, B., General theoretical results on rectilinear embeddability of graphs, Research Report Series A, No. 2. Department of Statistics, University of Rome “La Sapienza”. 1990. Also inActa Math. Appl Sinica,7: 2 (1991), 187–192.

  8. Liu Y. P., On the net-embeddability of graphs, RUTCOR Research Report RRR8-90. Rutgers University. 1990. Also inActa Math. Sinica, New Series,8 (1992), 413–423.

  9. Liu, Y. P., The efficient recognition on net-embeddability of graphs, Research Report, Inst. Appl. Math. Academia Sinica, 1991. Aslo inChinese Sci Bull.,38, (1993), 533–536.

  10. Liu Y. P., Rectilinear Embeddings: Theory and Methods (in Chinese), Science Press, 1993.

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Yanpei, L. Some combinatorial optimization problems arising from VLSI circuit design. Appl. Math. 8, 218–235 (1993). https://doi.org/10.1007/BF02662005

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