Abstract
Self-assembly reveals the essence of DNA computing, DNA self-assembly is thought to be the best way to make DNA computing transform into computer chip. This paper introduce a method of DNA 3D self-assembly algorithm to solve the Maximum Clique Problem. Firstly, we introduce a non-deterministic algorithm. Then, according to the algorithm we design the types of DNA tiles which the computation needs. Lastly, we demonstrate the self-assembly process and the experimental methods which could get the final result. The computation time is linear, and the number of the distinctive tile types is constant.
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References
Winfree, E.: On the computational power of DNA annealing and ligation. In: DNA Based Computers. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, pp. 199–221. American Mathematical Society, Providence (1996)
Adleman, L.M.: Molecular computation of solutions to combinatorial problems. Science 266, 1021–1024 (1994)
Ming-Yang, K., Ramachandran, V.: DNA self-assembly for constructing 3D boxes. In: Eades, P., Takaoka, T. (eds.) ISAAC 2001. LNCS, vol. 2223, pp. 429–441. Springer, Heidelberg (2001). https://doi.org/10.1007/3-540-45678-3_37
Al-Daoud, E., Zaqaibeh, B., Al-Hanandeh, F.: 3D DNA nanostructures for vector multiplication. Am. J. Sci. Res. 1, 1450–2223 (2009)
Lin, M., Xu, J., et al.: 3D DNA self-assembly model for graph vertex coloring. J. Comput. Theor. Nanosci. 7, 1246–253 (2010)
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Ma, J., Gao, W. (2018). DNA 3D Self-assembly Algorithmic Model to Solve Maximum Clique Problem. In: Qiao, J., et al. Bio-inspired Computing: Theories and Applications. BIC-TA 2018. Communications in Computer and Information Science, vol 951. Springer, Singapore. https://doi.org/10.1007/978-981-13-2826-8_15
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DOI: https://doi.org/10.1007/978-981-13-2826-8_15
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