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A Study on Lower Bound of Direct Proportional Length-Based DNA Computing for Shortest Path Problem

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Computational and Information Science (CIS 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3314))

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Abstract

Previously, we proposed a direct proportional length-based DNA computing approach for weighted graph problem. The approach has been proposed essentially to overcome the shortcoming of constant proportional length-based DNA computing approach. However, by using this approach, the minimum weight of edges that can be encoded is limited. Hence, in this paper, the lower bound, in term of minimum weight that can be encoded by direct proportional length-based DNA computing is analyzed. Also, the parameters contribute to the lower bound are investigated in order to identify the relation between those parameters and the lower bound of the direct proportional length-based DNA computing approach.

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References

  1. Adleman, L.: Molecular Computation of Solutions to Combinatorial Problems. Science 266, 1021–1024 (1994)

    Article  Google Scholar 

  2. Ibrahim, Z., Ono, O., Tsuboi, Y., Khalid, M.: Length-Based DNA Computing for 1-Pair Shortest Path Problem. In: Proc. of the Ninth International Symposium on Artificial Life and Robotics, pp. 299–302 (2004)

    Google Scholar 

  3. Lee, J.Y., Shin, S.Y., Augh, S.J., Park, T.H., Zhang, B.T.: Temperature Gradient-Based DNA Computing for Graph Problems with Weighted Edges. In: Hagiya, M., Ohuchi, A. (eds.) DNA 2002. LNCS, vol. 2568, pp. 73–84. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  4. Narayanan, A., Zorbalas, S.: DNA Algorithms for Computing Shortest Paths. In: Proceedings of Genetic Programming, pp. 718–723 (1998)

    Google Scholar 

  5. Udo, F., Sam, S., Wolfgang, B., Hilmar, R.: DNA Sequence Generator: A Program for the Construction of DNA Sequences. In: Jonoska, N., Seeman, N.C. (eds.) Proceedings of the Seventh International Workshop on DNA Based Computers, pp. 23–32 (2001)

    Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Ibrahim, Z., Tsuboi, Y., Ono, O., Khalid, M. (2004). A Study on Lower Bound of Direct Proportional Length-Based DNA Computing for Shortest Path Problem. In: Zhang, J., He, JH., Fu, Y. (eds) Computational and Information Science. CIS 2004. Lecture Notes in Computer Science, vol 3314. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30497-5_12

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  • DOI: https://doi.org/10.1007/978-3-540-30497-5_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24127-0

  • Online ISBN: 978-3-540-30497-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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