On the computational power of dna (1996) [48 citations — 2 self]

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by Dan Boneh, Christopher Dunworth, Jill Sgallt, Richard J. Lipton

Discrete Applied Mathematics

http://www.cise.ufl.edu/~mpf/biocircuit.pdf

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@ARTICLE{Boneh96onthe,
    author = {Dan Boneh and Christopher Dunworth and Jill Sgallt and Richard J. Lipton},
    title = {On the computational power of dna},
    journal = {Discrete Applied Mathematics},
    year = {1996},
    volume = {71},
    pages = {79--94}
}

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Abstract:

We show how DNA based computers can be used to solve the satisfiability problem for boolean circuits. Furthermore, we show how DNA computers can solve optimization problems directly without first solving several decision problems. Our methods also enable random sampling of satisfying assignments. 1

Citations

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58	A DNA and Restriction Enzyme Implementation of Turing Machines – Rothemund - 1996
50	Finding a maximum independent set – Tarjan, Trojanowski
49	A universal molecular computer – Beaver - 1995
47	Breaking DES using a molecular computer – Boneh, Dunworth, et al. - 1995
47	Markov chains and polynomial time algorithms – Kannan - 1994
43	Using DNA to solve NP-complete problems – Lipton
39	Making DNA computers error resistant – Boneh, Lipton - 1996
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38	DNA models and algorithms for NP-complete problems – Bach, Condon, et al. - 1996
25	Parallel molecular computation – Reif - 1995
24	DNA computers in vitro and vivo – Smith, Schweitzer - 1995
17	Error-resilient DNA computation – Karp, Kenyon, et al. - 1996
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4	Private communications – Papadimitriou - 1992
2	Error-resistant Implementation of DNA Computations. Unpublished manuscript – Amos, Gibbons, et al.
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2	On the Computational Power of DNA Annealing and Ligation. Available at http://dope.caltech.edu/winfree/DNA.html – Winfree - 1994
2	private communication – Rothemund

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