Abstract
constraint bipartite vertex cover is a graph-theoretical formalization of the spare allocation problem for reconfigurable arrays. We report on an implementation of a parameterized algorithm for this problem. This has led to considerable simplifications of the published, quite sophisticated algorithm. Moreover, we can prove that the mentioned algorithm could be quite efficient in practial situations.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bai, G.: Ein eingeschränktes Knotenüberdeckungsproblem in bipartiten Graphen. Diplomarbeit, FB IV, Informatik, Universität Trier, Germany (2007)
Blough, D.M.: On the reconfiguration of memory arrays containing clustered faults. In: Fault Tolerant Computing, pp. 444–451. IEEE Press, Los Alamitos (1991)
Blough, D.M., Pelc, A.: A clustered failure model for the memory array reconfiguration problem. IEEE Transactions on Computers 42(5), 518–528 (1993)
Chen, J., Kanj, I.A.: Constrained minimum vertex cover in bipartite graphs: complexity and parameterized algorithmics. Journal of Computer and System Sciences 67, 833–847 (2003)
Downey, R.G., Fellows, M.R.: Parameterized Complexity. Springer, Heidelberg (1999)
Evans, R.C.: Testing repairable RAMs and mostly good memories. In: Proceedings of the IEEE Int’l Test Conf., pp. 49–55 (1981)
Fernau, H.: On parameterized enumeration. In: Ibarra, O.H., Zhang, L. (eds.) COCOON 2002. LNCS, vol. 2383, pp. 564–573. Springer, Heidelberg (2002)
Fernau, H.: Parameterized Algorithmics: A Graph-Theoretic Approach, Habilitationsschrift, Universität Tübingen, Germany (2005)
Fernau, H., Niedermeier, R.: An efficient exact algorithm for constraint bipartite vertex cover. Journal of Algorithms 38(2), 374–410 (2001)
Haddad, R.W., Dahbura, A.T., Sharma, A.B.: Increased throughput for the testing and repair of RAMs with redundancy. IEEE Transactions on Computers 40(2), 154–166 (1991)
Handa, K., Haruki, K.: A reconfiguration algorithm for memory arrays containing faulty spares. IEICE Trans. Fundamentals E83-A(6), 1123–1130 (2000)
Koren, I., Pradhan, D.K.: Modeling the effect of redundancy on yield and performance of VLSI systems. IEEE Transactions on Computers 36(3), 344–355 (1987)
Kuo, S.-Y., Fuchs, W.K.: Efficient spare allocation for reconfigurable arrays. IEEE Design and Test 4, 24–31 (1987)
Lin, H.-Y., Yeh, F.-M., Kuo, S.-Y.: An efficient algorithm for spare allocation problems. IEEE Transactions on Reliability 55(2), 369–378 (2006)
Lombardi, F., Huang, W.K.: Approaches to the repair of VLSI/WSI PRAMs by row/column deletion. In: International Symposium on Fault-Tolerant Computing (FTCS 1988), pp. 342–347. IEEE Press, Los Alamitos (1988)
Meyer, F.J., Pradhan, D.K.: Modeling defect spatial distribution. IEEE Transactions on Computers 38(4), 538–546 (1989)
Shi, W., Fuchs, W.K.: Probabilistic analysis and algorithms for reconfiguration of memory arrays. IEEE Transactions on Computer-Aided Design 11(9), 1153–1160 (1992)
Wang, J., Xu, X., Liu, Y.: An Exact Algorithm Based on Chain Implication for the Min-CVCB Problem. In: Dress, A.W.M., Xu, Y., Zhu, B. (eds.) COCOA. LNCS, vol. 4616, pp. 343–353. Springer, Heidelberg (2007)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bai, G., Fernau, H. (2008). Constraint Bipartite Vertex Cover Simpler Exact Algorithms and Implementations. In: Preparata, F.P., Wu, X., Yin, J. (eds) Frontiers in Algorithmics. FAW 2008. Lecture Notes in Computer Science, vol 5059. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69311-6_10
Download citation
DOI: https://doi.org/10.1007/978-3-540-69311-6_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69310-9
Online ISBN: 978-3-540-69311-6
eBook Packages: Computer ScienceComputer Science (R0)