Abstract
Although DNA computing was rapidly discarded when researchers realized some of the drawbacks related to it, but by computer simulation of molecular reaction it may be implemented in silico by computer architectures offering massive parallelism. In this review, we describe sticker algorithm for several famous graph problem. Presented algorithms have polynomial time complexity.
Similar content being viewed by others
References
Adleman L (1994) Molecular computation of solutions to combinatorial problems. Science 266: 1021–1024
Adleman L (1998) Computing with DNA. Sci Am 279(2): 54–61
Amos M, Pãun G, Rozenberg G, Salomaa A (2002) Topic in the theory of DNA computing. Theor Comput Sci 287: 3–38
Darehmiraki M (2009) A new solution for maximal clique problem based sticker model. Biosystems 95: 145–149
Deo N (2005) Graph theory with applications to engineering and computer science. Prentice-Hall of India Private Limited, New Delhi, pp 61–63
Guo M, Chang W-L, Cao J (2004) Using sticker to solve the 3-dimensional matching problem in molecular super computers. Int J High Perform Comput Netw 1(1/2/3): 128–139
Guo M, Ho M, Chang W-L (2004) Fast parallel molecular solution to the dominating-set problem on massively parallel bio-computing. Parallel Comput 30: 1109–1125
Guo M, Chang W-L, Ho M, Lu J, Cao J (2005) Is optimal solution of every NP-complete or NP-hard problem determined from its characteristic for DNA-based computing. Biosystems 80(1): 71–82
Hsieh S-Y, Chen M-Y (2008) A DNA-based solution to the graph isomorphism problem using Adleman–Lipton model with stickerts. Appl Math Comput 197: 627–686
Papadimitriou CH, Steiglitz K (2003) Combinatorial optimization algorithm and complexity. Prentice-Hall of India Private Limited, New Delhi, pp 370–371
Qiu ZF, Lu M (2003) A new approach to advance the DNA computing. Appl Soft Comput 3: 177–189
Wang Z, Xiao D, Li W, He L (2006) A DNA procedure for solving the shortest path problem. Appl Math Comput 183: 79–84
Yeh C-W, Chu C-P, Wu K-R (2005) Molecular solution to the binary integer programming problem based DNA computing. Biosystems 83: 56–66
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Eghdami, H., Darehmiraki, M. Application of DNA computing in graph theory. Artif Intell Rev 38, 223–235 (2012). https://doi.org/10.1007/s10462-011-9247-5
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10462-011-9247-5