Abstract
The minimum crossing number problem has important applications in printed circuit board layout, VLSI circuit routing, and automated graph drawing. In this paper, we propose an improved Hopfield neural network algorithm for efficiently solving the minimum crossing number problem. To evaluate the proposed algorithm, a large number of instances have been simulated. The simulation results show that the proposed algorithm is much better than previous works for solving the minimum crossing number problem in terms of the computation time and the solution quality.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Garey, M.R., Johnson, D.S.: Crossing number is NP-complete. SIAM J. Alg. Disc. Meth. 4, 312–316 (1983)
Leighton, F.T.: New lower bound techniques for VLSI. Math. Sys. Theory 17, 47–70 (1984)
Shahrokhi, F., Szekely, L.A., Sykora, O., Vrto, I.: The book crossing number of a graph. J. Graph Theory 21, 413–424 (1996)
Hopfield, J.J., Tank, D.W.: Computing with neural circuits: A model. Science 233, 625–633 (1986)
Cimikowski, R., Shope, P.: A neural network algorithm for a graph layout problem. IEEE Trans. on Neural Network 7, 341–345 (1996)
Takefuji, Y., Lee, K.C.: Artificial neural networks for four-coloring map problems and K-colorability problems. IEEE Trans. Circuits Syst. 38, 326–333 (1991)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wang, R.L., Okazaki, K. (2006). Solving the Minimum Crossing Number Problem Using an Improved Artificial Neural Network. In: Yeung, D.S., Liu, ZQ., Wang, XZ., Yan, H. (eds) Advances in Machine Learning and Cybernetics. Lecture Notes in Computer Science(), vol 3930. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11739685_83
Download citation
DOI: https://doi.org/10.1007/11739685_83
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-33584-9
Online ISBN: 978-3-540-33585-6
eBook Packages: Computer ScienceComputer Science (R0)